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Finding the Fourth Proportional to 83,127, 124,654.32 and 45,675.84

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Solution

The fourth proportional to 83,127, 124,654.32 and 45,675.84 is: 68,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,127 : 124,654.32 = 45,675.84 : x
  2. Step 2: Convert to fraction form
    83,127/124,654.32 = 45,675.84/x
  3. Step 3: Cross multiply
    83,127x = 124,654.32 × 45,675.84
  4. Step 4: Simplify right side
    83,127x = 5,693,690,775.63
  5. Step 5: Solve for x
    x = 5,693,690,775.63/83,127
  6. Step 6: Final answer
    x = 68,493.88

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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.