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Finding the Fourth Proportional to 80,438.96, 120,724.80 and 40,469.24

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Solution

The fourth proportional to 80,438.96, 120,724.80 and 40,469.24 is: 60,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,438.96 : 120,724.80 = 40,469.24 : x
  2. Step 2: Convert to fraction form
    80,438.96/120,724.80 = 40,469.24/x
  3. Step 3: Cross multiply
    80,438.96x = 120,724.80 × 40,469.24
  4. Step 4: Simplify right side
    80,438.96x = 4,885,640,905.15
  5. Step 5: Solve for x
    x = 4,885,640,905.15/80,438.96
  6. Step 6: Final answer
    x = 60,737.25

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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.