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Finding the Fourth Proportional to 87.14, 130.16 and 72.60

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Solution

The fourth proportional to 87.14, 130.16 and 72.60 is: 108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.14 : 130.16 = 72.60 : x
  2. Step 2: Convert to fraction form
    87.14/130.16 = 72.60/x
  3. Step 3: Cross multiply
    87.14x = 130.16 × 72.60
  4. Step 4: Simplify right side
    87.14x = 9,449.62
  5. Step 5: Solve for x
    x = 9,449.62/87.14
  6. Step 6: Final answer
    x = 108.44

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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.