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Finding the Fourth Proportional to 84,177.80, 126,252.92 and 34,255.88

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Solution

The fourth proportional to 84,177.80, 126,252.92 and 34,255.88 is: 51,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,177.80 : 126,252.92 = 34,255.88 : x
  2. Step 2: Convert to fraction form
    84,177.80/126,252.92 = 34,255.88/x
  3. Step 3: Cross multiply
    84,177.80x = 126,252.92 × 34,255.88
  4. Step 4: Simplify right side
    84,177.80x = 4,324,904,877.17
  5. Step 5: Solve for x
    x = 4,324,904,877.17/84,177.80
  6. Step 6: Final answer
    x = 51,378.21

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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.