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Finding the Fourth Proportional to 71,731, 107,613.78 and 22,483

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Solution

The fourth proportional to 71,731, 107,613.78 and 22,483 is: 33,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,731 : 107,613.78 = 22,483 : x
  2. Step 2: Convert to fraction form
    71,731/107,613.78 = 22,483/x
  3. Step 3: Cross multiply
    71,731x = 107,613.78 × 22,483
  4. Step 4: Simplify right side
    71,731x = 2,419,480,615.74
  5. Step 5: Solve for x
    x = 2,419,480,615.74/71,731
  6. Step 6: Final answer
    x = 33,729.92

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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.