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Finding the Fourth Proportional to 83,877.91, 115,713.37 and 49,867.10

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Solution

The fourth proportional to 83,877.91, 115,713.37 and 49,867.10 is: 68,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,877.91 : 115,713.37 = 49,867.10 : x
  2. Step 2: Convert to fraction form
    83,877.91/115,713.37 = 49,867.10/x
  3. Step 3: Cross multiply
    83,877.91x = 115,713.37 × 49,867.10
  4. Step 4: Simplify right side
    83,877.91x = 5,770,289,614.56
  5. Step 5: Solve for x
    x = 5,770,289,614.56/83,877.91
  6. Step 6: Final answer
    x = 68,793.92

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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.