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Finding the Fourth Proportional to 83,797.20, 125,446.32 and 54,128.52

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Solution

The fourth proportional to 83,797.20, 125,446.32 and 54,128.52 is: 81,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,797.20 : 125,446.32 = 54,128.52 : x
  2. Step 2: Convert to fraction form
    83,797.20/125,446.32 = 54,128.52/x
  3. Step 3: Cross multiply
    83,797.20x = 125,446.32 × 54,128.52
  4. Step 4: Simplify right side
    83,797.20x = 6,790,223,641.05
  5. Step 5: Solve for x
    x = 6,790,223,641.05/83,797.20
  6. Step 6: Final answer
    x = 81,031.63

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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.