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Finding the Fourth Proportional to 100,884.20, 151,310.10 and 30,747.20

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Solution

The fourth proportional to 100,884.20, 151,310.10 and 30,747.20 is: 46,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,884.20 : 151,310.10 = 30,747.20 : x
  2. Step 2: Convert to fraction form
    100,884.20/151,310.10 = 30,747.20/x
  3. Step 3: Cross multiply
    100,884.20x = 151,310.10 × 30,747.20
  4. Step 4: Simplify right side
    100,884.20x = 4,652,361,906.72
  5. Step 5: Solve for x
    x = 4,652,361,906.72/100,884.20
  6. Step 6: Final answer
    x = 46,115.86

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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.