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Finding the Fourth Proportional to 83,645.73, 125,488.34 and 27,486

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Solution

The fourth proportional to 83,645.73, 125,488.34 and 27,486 is: 41,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,645.73 : 125,488.34 = 27,486 : x
  2. Step 2: Convert to fraction form
    83,645.73/125,488.34 = 27,486/x
  3. Step 3: Cross multiply
    83,645.73x = 125,488.34 × 27,486
  4. Step 4: Simplify right side
    83,645.73x = 3,449,172,478.88
  5. Step 5: Solve for x
    x = 3,449,172,478.88/83,645.73
  6. Step 6: Final answer
    x = 41,235.49

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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.