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Finding the Fourth Proportional to 71,115.20, 106,705.20 and 33,660.80

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Solution

The fourth proportional to 71,115.20, 106,705.20 and 33,660.80 is: 50,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115.20 : 106,705.20 = 33,660.80 : x
  2. Step 2: Convert to fraction form
    71,115.20/106,705.20 = 33,660.80/x
  3. Step 3: Cross multiply
    71,115.20x = 106,705.20 × 33,660.80
  4. Step 4: Simplify right side
    71,115.20x = 3,591,782,396.16
  5. Step 5: Solve for x
    x = 3,591,782,396.16/71,115.20
  6. Step 6: Final answer
    x = 50,506.54

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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.