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Finding the Fourth Proportional to 100,399, 150,567.78 and 33,821.27

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Solution

The fourth proportional to 100,399, 150,567.78 and 33,821.27 is: 50,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,399 : 150,567.78 = 33,821.27 : x
  2. Step 2: Convert to fraction form
    100,399/150,567.78 = 33,821.27/x
  3. Step 3: Cross multiply
    100,399x = 150,567.78 × 33,821.27
  4. Step 4: Simplify right side
    100,399x = 5,092,393,540.68
  5. Step 5: Solve for x
    x = 5,092,393,540.68/100,399
  6. Step 6: Final answer
    x = 50,721.56

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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.