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Finding the Fourth Proportional to 47,507.91, 71,251.32 and 21,195.87

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Solution

The fourth proportional to 47,507.91, 71,251.32 and 21,195.87 is: 31,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,507.91 : 71,251.32 = 21,195.87 : x
  2. Step 2: Convert to fraction form
    47,507.91/71,251.32 = 21,195.87/x
  3. Step 3: Cross multiply
    47,507.91x = 71,251.32 × 21,195.87
  4. Step 4: Simplify right side
    47,507.91x = 1,510,233,716.05
  5. Step 5: Solve for x
    x = 1,510,233,716.05/47,507.91
  6. Step 6: Final answer
    x = 31,789.10

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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.