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Finding the Fourth Proportional to 47,591.87, 71,336.43 and 20,914.11

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Solution

The fourth proportional to 47,591.87, 71,336.43 and 20,914.11 is: 31,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,591.87 : 71,336.43 = 20,914.11 : x
  2. Step 2: Convert to fraction form
    47,591.87/71,336.43 = 20,914.11/x
  3. Step 3: Cross multiply
    47,591.87x = 71,336.43 × 20,914.11
  4. Step 4: Simplify right side
    47,591.87x = 1,491,937,944.03
  5. Step 5: Solve for x
    x = 1,491,937,944.03/47,591.87
  6. Step 6: Final answer
    x = 31,348.59

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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.