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Finding the Fourth Proportional to 83.57, 125.60 and 81.29

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Solution

The fourth proportional to 83.57, 125.60 and 81.29 is: 122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.57 : 125.60 = 81.29 : x
  2. Step 2: Convert to fraction form
    83.57/125.60 = 81.29/x
  3. Step 3: Cross multiply
    83.57x = 125.60 × 81.29
  4. Step 4: Simplify right side
    83.57x = 10,209.93
  5. Step 5: Solve for x
    x = 10,209.93/83.57
  6. Step 6: Final answer
    x = 122.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.