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Finding the Fourth Proportional to 70,947.46, 106,437.89 and 21,027.97

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Solution

The fourth proportional to 70,947.46, 106,437.89 and 21,027.97 is: 31,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.46 : 106,437.89 = 21,027.97 : x
  2. Step 2: Convert to fraction form
    70,947.46/106,437.89 = 21,027.97/x
  3. Step 3: Cross multiply
    70,947.46x = 106,437.89 × 21,027.97
  4. Step 4: Simplify right side
    70,947.46x = 2,238,172,757.78
  5. Step 5: Solve for x
    x = 2,238,172,757.78/70,947.46
  6. Step 6: Final answer
    x = 31,546.90

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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.