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Finding the Fourth Proportional to 217,410.75, 326,112.28 and 89,299.30

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Solution

The fourth proportional to 217,410.75, 326,112.28 and 89,299.30 is: 133,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,410.75 : 326,112.28 = 89,299.30 : x
  2. Step 2: Convert to fraction form
    217,410.75/326,112.28 = 89,299.30/x
  3. Step 3: Cross multiply
    217,410.75x = 326,112.28 × 89,299.30
  4. Step 4: Simplify right side
    217,410.75x = 29,121,597,286.88
  5. Step 5: Solve for x
    x = 29,121,597,286.88/217,410.75
  6. Step 6: Final answer
    x = 133,947.37

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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.