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Finding the Fourth Proportional to 87.80, 131.15 and 74.13

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Solution

The fourth proportional to 87.80, 131.15 and 74.13 is: 110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.80 : 131.15 = 74.13 : x
  2. Step 2: Convert to fraction form
    87.80/131.15 = 74.13/x
  3. Step 3: Cross multiply
    87.80x = 131.15 × 74.13
  4. Step 4: Simplify right side
    87.80x = 9,721.78
  5. Step 5: Solve for x
    x = 9,721.78/87.80
  6. Step 6: Final answer
    x = 110.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.