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Finding the Fourth Proportional to 83,742.80, 115,565.52 and 45,502.64

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Solution

The fourth proportional to 83,742.80, 115,565.52 and 45,502.64 is: 62,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,742.80 : 115,565.52 = 45,502.64 : x
  2. Step 2: Convert to fraction form
    83,742.80/115,565.52 = 45,502.64/x
  3. Step 3: Cross multiply
    83,742.80x = 115,565.52 × 45,502.64
  4. Step 4: Simplify right side
    83,742.80x = 5,258,536,252.97
  5. Step 5: Solve for x
    x = 5,258,536,252.97/83,742.80
  6. Step 6: Final answer
    x = 62,793.89

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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.