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Finding the Fourth Proportional to 220,923, 331,387.92 and 54,711

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Solution

The fourth proportional to 220,923, 331,387.92 and 54,711 is: 82,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,923 : 331,387.92 = 54,711 : x
  2. Step 2: Convert to fraction form
    220,923/331,387.92 = 54,711/x
  3. Step 3: Cross multiply
    220,923x = 331,387.92 × 54,711
  4. Step 4: Simplify right side
    220,923x = 18,130,564,491.12
  5. Step 5: Solve for x
    x = 18,130,564,491.12/220,923
  6. Step 6: Final answer
    x = 82,067.35

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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.