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Finding the Fourth Proportional to 122,115.88, 182,862.78 and 80,436.52

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Solution

The fourth proportional to 122,115.88, 182,862.78 and 80,436.52 is: 120,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,115.88 : 182,862.78 = 80,436.52 : x
  2. Step 2: Convert to fraction form
    122,115.88/182,862.78 = 80,436.52/x
  3. Step 3: Cross multiply
    122,115.88x = 182,862.78 × 80,436.52
  4. Step 4: Simplify right side
    122,115.88x = 14,708,845,660.73
  5. Step 5: Solve for x
    x = 14,708,845,660.73/122,115.88
  6. Step 6: Final answer
    x = 120,449.90

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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.