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Finding the Fourth Proportional to 83,930.63, 125,883.51 and 30,610.10

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Solution

The fourth proportional to 83,930.63, 125,883.51 and 30,610.10 is: 45,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,930.63 : 125,883.51 = 30,610.10 : x
  2. Step 2: Convert to fraction form
    83,930.63/125,883.51 = 30,610.10/x
  3. Step 3: Cross multiply
    83,930.63x = 125,883.51 × 30,610.10
  4. Step 4: Simplify right side
    83,930.63x = 3,853,306,438.22
  5. Step 5: Solve for x
    x = 3,853,306,438.22/83,930.63
  6. Step 6: Final answer
    x = 45,910.61

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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.