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Finding the Fourth Proportional to 83.72, 126.20 and 83.12

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Solution

The fourth proportional to 83.72, 126.20 and 83.12 is: 125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.72 : 126.20 = 83.12 : x
  2. Step 2: Convert to fraction form
    83.72/126.20 = 83.12/x
  3. Step 3: Cross multiply
    83.72x = 126.20 × 83.12
  4. Step 4: Simplify right side
    83.72x = 10,488.70
  5. Step 5: Solve for x
    x = 10,488.70/83.72
  6. Step 6: Final answer
    x = 125.29

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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.