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Finding the Fourth Proportional to 80,411.20, 120,693.60 and 68,737.60

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Solution

The fourth proportional to 80,411.20, 120,693.60 and 68,737.60 is: 103,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,411.20 : 120,693.60 = 68,737.60 : x
  2. Step 2: Convert to fraction form
    80,411.20/120,693.60 = 68,737.60/x
  3. Step 3: Cross multiply
    80,411.20x = 120,693.60 × 68,737.60
  4. Step 4: Simplify right side
    80,411.20x = 8,296,188,399.36
  5. Step 5: Solve for x
    x = 8,296,188,399.36/80,411.20
  6. Step 6: Final answer
    x = 103,172.05

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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.