Delemine if the number are in proportion:
`15,93,60,272`

Answer

To determine if the numbers 15, 93, 60, and 272 are in proportion, we need to check if the ratio of the first two numbers (15 and 93) is equal to the ratio of the last two numbers (60 and 272).

### Step-by-Step Solution:

1. **Identify the Numbers**: The numbers given are 15, 93, 60, and 272.

2. **Set Up the Proportion**: We need to check if:
\[ \frac{15}{93} = \frac{60}{272} \]

3. **Simplify the First Ratio**:
- Calculate \( \frac{15}{93} \).
- To simplify, find the greatest common divisor (GCD) of 15 and 93. The GCD is 3.
- Now divide both the numerator and the denominator by 3:
\[ \frac{15 \div 3}{93 \div 3} = \frac{5}{31} \]

4. **Simplify the Second Ratio**:
- Calculate \( \frac{60}{272} \).
- Find the GCD of 60 and 272. The GCD is 4.
- Now divide both the numerator and the denominator by 4:
\[ \frac{60 \div 4}{272 \div 4} = \frac{15}{68} \]

5. **Compare the Two Ratios**:
- Now we have:
\[ \frac{15}{93} = \frac{5}{31} \quad \text{and} \quad \frac{60}{272} = \frac{15}{68} \]
- Since \( \frac{5}{31} \) is not equal to \( \frac{15}{68} \), we conclude that:
\[ \frac{15}{93} \neq \frac{60}{272} \]

6. **Conclusion**: The numbers 15, 93, 60, and 272 are **not in proportion**.