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Finding the Fourth Proportional to 73,270.80, 109,906.20 and 38,205.90

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Solution

The fourth proportional to 73,270.80, 109,906.20 and 38,205.90 is: 57,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,270.80 : 109,906.20 = 38,205.90 : x
  2. Step 2: Convert to fraction form
    73,270.80/109,906.20 = 38,205.90/x
  3. Step 3: Cross multiply
    73,270.80x = 109,906.20 × 38,205.90
  4. Step 4: Simplify right side
    73,270.80x = 4,199,065,286.58
  5. Step 5: Solve for x
    x = 4,199,065,286.58/73,270.80
  6. Step 6: Final answer
    x = 57,308.85

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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.