35 : 98 : : x : 140 . What is the value of x ?
A)60
B)50
C)55
D)65

Options

A. 60
B. 50
C. 55
D. 65

Answer

To solve the proportion problem given by the question \( 35 : 98 :: x : 140 \), we can set up the equation as follows:

1. **Set up the proportion**:
\[ \frac{35}{98} = \frac{x}{140} \]

2. **Cross-multiply**:
\[ 35 \times 140 = 98 \times x \]

3. **Calculate \( 35 \times 140 \)**:
\[ 35 \times 140 = 4900 \]

4. **Set up the equation**:
\[ 4900 = 98x \]

5. **Solve for \( x \)**:
\[ x = \frac{4900}{98} \]

6. **Perform the division**:
\[ x = 50 \]

Thus, the value of \( x \) is \( 50 \).

**Final Answer**: Option B) 50

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