Finding the Fourth Proportional to 81.97, 122.87 and 77.70
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Solution
The fourth proportional to 81.97, 122.87 and 77.70 is: 116.46
Step by Step Solution
- Step 1: Write the proportion equation
81.97 : 122.87 = 77.70 : x - Step 2: Convert to fraction form
81.97/122.87 = 77.70/x - Step 3: Cross multiply
81.97x = 122.87 × 77.70 - Step 4: Simplify right side
81.97x = 9,546.03 - Step 5: Solve for x
x = 9,546.03/81.97 - Step 6: Final answer
x = 116.46
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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.