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Finding the Fourth Proportional to 83,863.85, 125,854.09 and 54,208.13

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Solution

The fourth proportional to 83,863.85, 125,854.09 and 54,208.13 is: 81,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,863.85 : 125,854.09 = 54,208.13 : x
  2. Step 2: Convert to fraction form
    83,863.85/125,854.09 = 54,208.13/x
  3. Step 3: Cross multiply
    83,863.85x = 125,854.09 × 54,208.13
  4. Step 4: Simplify right side
    83,863.85x = 6,822,314,106.96
  5. Step 5: Solve for x
    x = 6,822,314,106.96/83,863.85
  6. Step 6: Final answer
    x = 81,349.88

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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.