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Finding the Fourth Proportional to 72,781.47, 109,159.11 and 20,195.19

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Solution

The fourth proportional to 72,781.47, 109,159.11 and 20,195.19 is: 30,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,781.47 : 109,159.11 = 20,195.19 : x
  2. Step 2: Convert to fraction form
    72,781.47/109,159.11 = 20,195.19/x
  3. Step 3: Cross multiply
    72,781.47x = 109,159.11 × 20,195.19
  4. Step 4: Simplify right side
    72,781.47x = 2,204,488,966.68
  5. Step 5: Solve for x
    x = 2,204,488,966.68/72,781.47
  6. Step 6: Final answer
    x = 30,289.15

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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.