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Finding the Fourth Proportional to 83,877.80, 115,749.24 and 45,635.72

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Solution

The fourth proportional to 83,877.80, 115,749.24 and 45,635.72 is: 62,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,877.80 : 115,749.24 = 45,635.72 : x
  2. Step 2: Convert to fraction form
    83,877.80/115,749.24 = 45,635.72/x
  3. Step 3: Cross multiply
    83,877.80x = 115,749.24 × 45,635.72
  4. Step 4: Simplify right side
    83,877.80x = 5,282,299,906.85
  5. Step 5: Solve for x
    x = 5,282,299,906.85/83,877.80
  6. Step 6: Final answer
    x = 62,976.14

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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.