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Finding the Fourth Proportional to 218,067.30, 327,122.55 and 75,890.70

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Solution

The fourth proportional to 218,067.30, 327,122.55 and 75,890.70 is: 113,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,067.30 : 327,122.55 = 75,890.70 : x
  2. Step 2: Convert to fraction form
    218,067.30/327,122.55 = 75,890.70/x
  3. Step 3: Cross multiply
    218,067.30x = 327,122.55 × 75,890.70
  4. Step 4: Simplify right side
    218,067.30x = 24,825,559,305.29
  5. Step 5: Solve for x
    x = 24,825,559,305.29/218,067.30
  6. Step 6: Final answer
    x = 113,843.57

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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.