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Finding the Fourth Proportional to 87.66, 132.03 and 74.91

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Solution

The fourth proportional to 87.66, 132.03 and 74.91 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.66 : 132.03 = 74.91 : x
  2. Step 2: Convert to fraction form
    87.66/132.03 = 74.91/x
  3. Step 3: Cross multiply
    87.66x = 132.03 × 74.91
  4. Step 4: Simplify right side
    87.66x = 9,890.37
  5. Step 5: Solve for x
    x = 9,890.37/87.66
  6. Step 6: Final answer
    x = 112.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.