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Finding the Fourth Proportional to 83,502.56, 115,239.65 and 47,691.79

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Solution

The fourth proportional to 83,502.56, 115,239.65 and 47,691.79 is: 65,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502.56 : 115,239.65 = 47,691.79 : x
  2. Step 2: Convert to fraction form
    83,502.56/115,239.65 = 47,691.79/x
  3. Step 3: Cross multiply
    83,502.56x = 115,239.65 × 47,691.79
  4. Step 4: Simplify right side
    83,502.56x = 5,495,984,660.92
  5. Step 5: Solve for x
    x = 5,495,984,660.92/83,502.56
  6. Step 6: Final answer
    x = 65,818.16

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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.