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Finding the Fourth Proportional to 87.08, 129.79 and 83.23

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Solution

The fourth proportional to 87.08, 129.79 and 83.23 is: 124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.08 : 129.79 = 83.23 : x
  2. Step 2: Convert to fraction form
    87.08/129.79 = 83.23/x
  3. Step 3: Cross multiply
    87.08x = 129.79 × 83.23
  4. Step 4: Simplify right side
    87.08x = 10,801.73
  5. Step 5: Solve for x
    x = 10,801.73/87.08
  6. Step 6: Final answer
    x = 124.05

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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.