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Finding the Fourth Proportional to 83,651.68, 125,451 and 27,478.72

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Solution

The fourth proportional to 83,651.68, 125,451 and 27,478.72 is: 41,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,651.68 : 125,451 = 27,478.72 : x
  2. Step 2: Convert to fraction form
    83,651.68/125,451 = 27,478.72/x
  3. Step 3: Cross multiply
    83,651.68x = 125,451 × 27,478.72
  4. Step 4: Simplify right side
    83,651.68x = 3,447,232,902.72
  5. Step 5: Solve for x
    x = 3,447,232,902.72/83,651.68
  6. Step 6: Final answer
    x = 41,209.37

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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.