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Finding the Fourth Proportional to 120,194.88, 180,287.20 and 71,257.92

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Solution

The fourth proportional to 120,194.88, 180,287.20 and 71,257.92 is: 106,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,194.88 : 180,287.20 = 71,257.92 : x
  2. Step 2: Convert to fraction form
    120,194.88/180,287.20 = 71,257.92/x
  3. Step 3: Cross multiply
    120,194.88x = 180,287.20 × 71,257.92
  4. Step 4: Simplify right side
    120,194.88x = 12,846,890,874.62
  5. Step 5: Solve for x
    x = 12,846,890,874.62/120,194.88
  6. Step 6: Final answer
    x = 106,883.84

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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.