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Finding the Fourth Proportional to 83,387.75, 115,092.96 and 53,166.11

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Solution

The fourth proportional to 83,387.75, 115,092.96 and 53,166.11 is: 73,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,387.75 : 115,092.96 = 53,166.11 : x
  2. Step 2: Convert to fraction form
    83,387.75/115,092.96 = 53,166.11/x
  3. Step 3: Cross multiply
    83,387.75x = 115,092.96 × 53,166.11
  4. Step 4: Simplify right side
    83,387.75x = 6,119,044,971.59
  5. Step 5: Solve for x
    x = 6,119,044,971.59/83,387.75
  6. Step 6: Final answer
    x = 73,380.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.