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Finding the Fourth Proportional to 225,308.20, 338,003.10 and 106,978.60

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Solution

The fourth proportional to 225,308.20, 338,003.10 and 106,978.60 is: 160,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,308.20 : 338,003.10 = 106,978.60 : x
  2. Step 2: Convert to fraction form
    225,308.20/338,003.10 = 106,978.60/x
  3. Step 3: Cross multiply
    225,308.20x = 338,003.10 × 106,978.60
  4. Step 4: Simplify right side
    225,308.20x = 36,159,098,433.66
  5. Step 5: Solve for x
    x = 36,159,098,433.66/225,308.20
  6. Step 6: Final answer
    x = 160,487.27

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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.