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Finding the Fourth Proportional to 120,468.20, 180,705.20 and 40,507.20

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Solution

The fourth proportional to 120,468.20, 180,705.20 and 40,507.20 is: 60,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,468.20 : 180,705.20 = 40,507.20 : x
  2. Step 2: Convert to fraction form
    120,468.20/180,705.20 = 40,507.20/x
  3. Step 3: Cross multiply
    120,468.20x = 180,705.20 × 40,507.20
  4. Step 4: Simplify right side
    120,468.20x = 7,319,861,474.90
  5. Step 5: Solve for x
    x = 7,319,861,474.90/120,468.20
  6. Step 6: Final answer
    x = 60,761.78

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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.