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Finding the Fourth Proportional to 100,169.80, 150,338.13 and 52,801.90

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Solution

The fourth proportional to 100,169.80, 150,338.13 and 52,801.90 is: 79,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,169.80 : 150,338.13 = 52,801.90 : x
  2. Step 2: Convert to fraction form
    100,169.80/150,338.13 = 52,801.90/x
  3. Step 3: Cross multiply
    100,169.80x = 150,338.13 × 52,801.90
  4. Step 4: Simplify right side
    100,169.80x = 7,938,138,906.45
  5. Step 5: Solve for x
    x = 7,938,138,906.45/100,169.80
  6. Step 6: Final answer
    x = 79,246.83

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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.