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Finding the Fourth Proportional to 83,447.42, 125,169.98 and 20,268

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Solution

The fourth proportional to 83,447.42, 125,169.98 and 20,268 is: 30,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447.42 : 125,169.98 = 20,268 : x
  2. Step 2: Convert to fraction form
    83,447.42/125,169.98 = 20,268/x
  3. Step 3: Cross multiply
    83,447.42x = 125,169.98 × 20,268
  4. Step 4: Simplify right side
    83,447.42x = 2,536,945,053.30
  5. Step 5: Solve for x
    x = 2,536,945,053.30/83,447.42
  6. Step 6: Final answer
    x = 30,401.72

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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.