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Finding the Fourth Proportional to 83,351.31, 115,024.86 and 47,540.40

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Solution

The fourth proportional to 83,351.31, 115,024.86 and 47,540.40 is: 65,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,351.31 : 115,024.86 = 47,540.40 : x
  2. Step 2: Convert to fraction form
    83,351.31/115,024.86 = 47,540.40/x
  3. Step 3: Cross multiply
    83,351.31x = 115,024.86 × 47,540.40
  4. Step 4: Simplify right side
    83,351.31x = 5,468,327,854.34
  5. Step 5: Solve for x
    x = 5,468,327,854.34/83,351.31
  6. Step 6: Final answer
    x = 65,605.78

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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.