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Finding the Fourth Proportional to 83,909.61, 125,864.42 and 21,575.25

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Solution

The fourth proportional to 83,909.61, 125,864.42 and 21,575.25 is: 32,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909.61 : 125,864.42 = 21,575.25 : x
  2. Step 2: Convert to fraction form
    83,909.61/125,864.42 = 21,575.25/x
  3. Step 3: Cross multiply
    83,909.61x = 125,864.42 × 21,575.25
  4. Step 4: Simplify right side
    83,909.61x = 2,715,556,219.73
  5. Step 5: Solve for x
    x = 2,715,556,219.73/83,909.61
  6. Step 6: Final answer
    x = 32,362.88

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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.