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Finding the Fourth Proportional to 180,469.80, 270,488.70 and 75,234.60

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Solution

The fourth proportional to 180,469.80, 270,488.70 and 75,234.60 is: 112,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469.80 : 270,488.70 = 75,234.60 : x
  2. Step 2: Convert to fraction form
    180,469.80/270,488.70 = 75,234.60/x
  3. Step 3: Cross multiply
    180,469.80x = 270,488.70 × 75,234.60
  4. Step 4: Simplify right side
    180,469.80x = 20,350,109,149.02
  5. Step 5: Solve for x
    x = 20,350,109,149.02/180,469.80
  6. Step 6: Final answer
    x = 112,761.85

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1.5x scale

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.