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Finding the Fourth Proportional to 143,414, 215,198.76 and 69,542

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Solution

The fourth proportional to 143,414, 215,198.76 and 69,542 is: 104,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,414 : 215,198.76 = 69,542 : x
  2. Step 2: Convert to fraction form
    143,414/215,198.76 = 69,542/x
  3. Step 3: Cross multiply
    143,414x = 215,198.76 × 69,542
  4. Step 4: Simplify right side
    143,414x = 14,965,352,167.92
  5. Step 5: Solve for x
    x = 14,965,352,167.92/143,414
  6. Step 6: Final answer
    x = 104,350.71

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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.