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Finding the Fourth Proportional to 120,691.20, 181,231.20 and 81,422.40

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Solution

The fourth proportional to 120,691.20, 181,231.20 and 81,422.40 is: 122,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,691.20 : 181,231.20 = 81,422.40 : x
  2. Step 2: Convert to fraction form
    120,691.20/181,231.20 = 81,422.40/x
  3. Step 3: Cross multiply
    120,691.20x = 181,231.20 × 81,422.40
  4. Step 4: Simplify right side
    120,691.20x = 14,756,279,258.88
  5. Step 5: Solve for x
    x = 14,756,279,258.88/120,691.20
  6. Step 6: Final answer
    x = 122,264.75

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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.