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Finding the Fourth Proportional to 87.92, 132.56 and 82.72

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Solution

The fourth proportional to 87.92, 132.56 and 82.72 is: 124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.92 : 132.56 = 82.72 : x
  2. Step 2: Convert to fraction form
    87.92/132.56 = 82.72/x
  3. Step 3: Cross multiply
    87.92x = 132.56 × 82.72
  4. Step 4: Simplify right side
    87.92x = 10,965.36
  5. Step 5: Solve for x
    x = 10,965.36/87.92
  6. Step 6: Final answer
    x = 124.72

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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.