Finding the Fourth Proportional to 129.08, 193.70 and 77.74
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Solution
The fourth proportional to 129.08, 193.70 and 77.74 is: 116.65
Step by Step Solution
- Step 1: Write the proportion equation
129.08 : 193.70 = 77.74 : x - Step 2: Convert to fraction form
129.08/193.70 = 77.74/x - Step 3: Cross multiply
129.08x = 193.70 × 77.74 - Step 4: Simplify right side
129.08x = 15,057.95 - Step 5: Solve for x
x = 15,057.95/129.08 - Step 6: Final answer
x = 116.65
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.