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Finding the Fourth Proportional to 83,793.76, 125,731.68 and 39,418.72

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Solution

The fourth proportional to 83,793.76, 125,731.68 and 39,418.72 is: 59,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,793.76 : 125,731.68 = 39,418.72 : x
  2. Step 2: Convert to fraction form
    83,793.76/125,731.68 = 39,418.72/x
  3. Step 3: Cross multiply
    83,793.76x = 125,731.68 × 39,418.72
  4. Step 4: Simplify right side
    83,793.76x = 4,956,181,889.05
  5. Step 5: Solve for x
    x = 4,956,181,889.05/83,793.76
  6. Step 6: Final answer
    x = 59,147.39

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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.