Finding the Fourth Proportional to 129.14, 193.77 and 77.81
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Solution
The fourth proportional to 129.14, 193.77 and 77.81 is: 116.75
Step by Step Solution
- Step 1: Write the proportion equation
129.14 : 193.77 = 77.81 : x - Step 2: Convert to fraction form
129.14/193.77 = 77.81/x - Step 3: Cross multiply
129.14x = 193.77 × 77.81 - Step 4: Simplify right side
129.14x = 15,077.24 - Step 5: Solve for x
x = 15,077.24/129.14 - Step 6: Final answer
x = 116.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.