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Finding the Fourth Proportional to 150,107.78, 225,188.96 and 71,221.28

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Solution

The fourth proportional to 150,107.78, 225,188.96 and 71,221.28 is: 106,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,107.78 : 225,188.96 = 71,221.28 : x
  2. Step 2: Convert to fraction form
    150,107.78/225,188.96 = 71,221.28/x
  3. Step 3: Cross multiply
    150,107.78x = 225,188.96 × 71,221.28
  4. Step 4: Simplify right side
    150,107.78x = 16,038,244,491.02
  5. Step 5: Solve for x
    x = 16,038,244,491.02/150,107.78
  6. Step 6: Final answer
    x = 106,844.86

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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.