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Finding the Fourth Proportional to 83,405.82, 125,192.96 and 73,979.84

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Solution

The fourth proportional to 83,405.82, 125,192.96 and 73,979.84 is: 111,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,405.82 : 125,192.96 = 73,979.84 : x
  2. Step 2: Convert to fraction form
    83,405.82/125,192.96 = 73,979.84/x
  3. Step 3: Cross multiply
    83,405.82x = 125,192.96 × 73,979.84
  4. Step 4: Simplify right side
    83,405.82x = 9,261,755,149.93
  5. Step 5: Solve for x
    x = 9,261,755,149.93/83,405.82
  6. Step 6: Final answer
    x = 111,044.47

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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.