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Finding the Fourth Proportional to 87.57, 130.86 and 74.61

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Solution

The fourth proportional to 87.57, 130.86 and 74.61 is: 111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 130.86 = 74.61 : x
  2. Step 2: Convert to fraction form
    87.57/130.86 = 74.61/x
  3. Step 3: Cross multiply
    87.57x = 130.86 × 74.61
  4. Step 4: Simplify right side
    87.57x = 9,763.46
  5. Step 5: Solve for x
    x = 9,763.46/87.57
  6. Step 6: Final answer
    x = 111.49

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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.