Finding the Fourth Proportional to 122.62, 169.36 and 83.74
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Solution
The fourth proportional to 122.62, 169.36 and 83.74 is: 115.66
Step by Step Solution
- Step 1: Write the proportion equation
122.62 : 169.36 = 83.74 : x - Step 2: Convert to fraction form
122.62/169.36 = 83.74/x - Step 3: Cross multiply
122.62x = 169.36 × 83.74 - Step 4: Simplify right side
122.62x = 14,182.21 - Step 5: Solve for x
x = 14,182.21/122.62 - Step 6: Final answer
x = 115.66
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.