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Finding the Fourth Proportional to 71,863.68, 99,177.12 and 41,656.80

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Solution

The fourth proportional to 71,863.68, 99,177.12 and 41,656.80 is: 57,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,863.68 : 99,177.12 = 41,656.80 : x
  2. Step 2: Convert to fraction form
    71,863.68/99,177.12 = 41,656.80/x
  3. Step 3: Cross multiply
    71,863.68x = 99,177.12 × 41,656.80
  4. Step 4: Simplify right side
    71,863.68x = 4,131,401,452.42
  5. Step 5: Solve for x
    x = 4,131,401,452.42/71,863.68
  6. Step 6: Final answer
    x = 57,489.42

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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.