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Finding the Fourth Proportional to 83,651.79, 125,451.07 and 27,478.86

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Solution

The fourth proportional to 83,651.79, 125,451.07 and 27,478.86 is: 41,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,651.79 : 125,451.07 = 27,478.86 : x
  2. Step 2: Convert to fraction form
    83,651.79/125,451.07 = 27,478.86/x
  3. Step 3: Cross multiply
    83,651.79x = 125,451.07 × 27,478.86
  4. Step 4: Simplify right side
    83,651.79x = 3,447,252,389.38
  5. Step 5: Solve for x
    x = 3,447,252,389.38/83,651.79
  6. Step 6: Final answer
    x = 41,209.55

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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.