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Finding the Fourth Proportional to 83,771.34, 125,662.98 and 27,611.88

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Solution

The fourth proportional to 83,771.34, 125,662.98 and 27,611.88 is: 41,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,771.34 : 125,662.98 = 27,611.88 : x
  2. Step 2: Convert to fraction form
    83,771.34/125,662.98 = 27,611.88/x
  3. Step 3: Cross multiply
    83,771.34x = 125,662.98 × 27,611.88
  4. Step 4: Simplify right side
    83,771.34x = 3,469,791,124.20
  5. Step 5: Solve for x
    x = 3,469,791,124.20/83,771.34
  6. Step 6: Final answer
    x = 41,419.79

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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.