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Finding the Fourth Proportional to 49,747.20, 74,620.80 and 20,149.80

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Solution

The fourth proportional to 49,747.20, 74,620.80 and 20,149.80 is: 30,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,747.20 : 74,620.80 = 20,149.80 : x
  2. Step 2: Convert to fraction form
    49,747.20/74,620.80 = 20,149.80/x
  3. Step 3: Cross multiply
    49,747.20x = 74,620.80 × 20,149.80
  4. Step 4: Simplify right side
    49,747.20x = 1,503,594,195.84
  5. Step 5: Solve for x
    x = 1,503,594,195.84/49,747.20
  6. Step 6: Final answer
    x = 30,224.70

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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.