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Finding the Fourth Proportional to 87.92, 132.50 and 83.80

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Solution

The fourth proportional to 87.92, 132.50 and 83.80 is: 126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.92 : 132.50 = 83.80 : x
  2. Step 2: Convert to fraction form
    87.92/132.50 = 83.80/x
  3. Step 3: Cross multiply
    87.92x = 132.50 × 83.80
  4. Step 4: Simplify right side
    87.92x = 11,103.88
  5. Step 5: Solve for x
    x = 11,103.88/87.92
  6. Step 6: Final answer
    x = 126.30

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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.