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Finding the Fourth Proportional to 83,808.80, 125,714.76 and 67,091.24

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Solution

The fourth proportional to 83,808.80, 125,714.76 and 67,091.24 is: 100,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,808.80 : 125,714.76 = 67,091.24 : x
  2. Step 2: Convert to fraction form
    83,808.80/125,714.76 = 67,091.24/x
  3. Step 3: Cross multiply
    83,808.80x = 125,714.76 × 67,091.24
  4. Step 4: Simplify right side
    83,808.80x = 8,434,359,134.70
  5. Step 5: Solve for x
    x = 8,434,359,134.70/83,808.80
  6. Step 6: Final answer
    x = 100,638.11

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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.