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Finding the Fourth Proportional to 71,791.92, 107,709.84 and 36,756.36

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Solution

The fourth proportional to 71,791.92, 107,709.84 and 36,756.36 is: 55,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,791.92 : 107,709.84 = 36,756.36 : x
  2. Step 2: Convert to fraction form
    71,791.92/107,709.84 = 36,756.36/x
  3. Step 3: Cross multiply
    71,791.92x = 107,709.84 × 36,756.36
  4. Step 4: Simplify right side
    71,791.92x = 3,959,021,654.58
  5. Step 5: Solve for x
    x = 3,959,021,654.58/71,791.92
  6. Step 6: Final answer
    x = 55,145.78

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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.