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Finding the Fourth Proportional to 87.16, 129.53 and 85.24

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Solution

The fourth proportional to 87.16, 129.53 and 85.24 is: 126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.16 : 129.53 = 85.24 : x
  2. Step 2: Convert to fraction form
    87.16/129.53 = 85.24/x
  3. Step 3: Cross multiply
    87.16x = 129.53 × 85.24
  4. Step 4: Simplify right side
    87.16x = 11,041.14
  5. Step 5: Solve for x
    x = 11,041.14/87.16
  6. Step 6: Final answer
    x = 126.68

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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.