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Finding the Fourth Proportional to 73,147.86, 100,943.42 and 39,613.86

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Solution

The fourth proportional to 73,147.86, 100,943.42 and 39,613.86 is: 54,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147.86 : 100,943.42 = 39,613.86 : x
  2. Step 2: Convert to fraction form
    73,147.86/100,943.42 = 39,613.86/x
  3. Step 3: Cross multiply
    73,147.86x = 100,943.42 × 39,613.86
  4. Step 4: Simplify right side
    73,147.86x = 3,998,758,309.73
  5. Step 5: Solve for x
    x = 3,998,758,309.73/73,147.86
  6. Step 6: Final answer
    x = 54,666.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.