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Finding the Fourth Proportional to 87.98, 131.02 and 82.73

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Solution

The fourth proportional to 87.98, 131.02 and 82.73 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.98 : 131.02 = 82.73 : x
  2. Step 2: Convert to fraction form
    87.98/131.02 = 82.73/x
  3. Step 3: Cross multiply
    87.98x = 131.02 × 82.73
  4. Step 4: Simplify right side
    87.98x = 10,839.41
  5. Step 5: Solve for x
    x = 10,839.41/87.98
  6. Step 6: Final answer
    x = 123.21

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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.