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Finding the Fourth Proportional to 83.76, 126.24 and 71.88

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Solution

The fourth proportional to 83.76, 126.24 and 71.88 is: 108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.76 : 126.24 = 71.88 : x
  2. Step 2: Convert to fraction form
    83.76/126.24 = 71.88/x
  3. Step 3: Cross multiply
    83.76x = 126.24 × 71.88
  4. Step 4: Simplify right side
    83.76x = 9,074.13
  5. Step 5: Solve for x
    x = 9,074.13/83.76
  6. Step 6: Final answer
    x = 108.33

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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.