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Finding the Fourth Proportional to 81,649, 122,481.24 and 31,732.95

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Solution

The fourth proportional to 81,649, 122,481.24 and 31,732.95 is: 47,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649 : 122,481.24 = 31,732.95 : x
  2. Step 2: Convert to fraction form
    81,649/122,481.24 = 31,732.95/x
  3. Step 3: Cross multiply
    81,649x = 122,481.24 × 31,732.95
  4. Step 4: Simplify right side
    81,649x = 3,886,691,064.86
  5. Step 5: Solve for x
    x = 3,886,691,064.86/81,649
  6. Step 6: Final answer
    x = 47,602.43

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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.