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Finding the Fourth Proportional to 80,138.73, 120,104.01 and 32,698.25

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Solution

The fourth proportional to 80,138.73, 120,104.01 and 32,698.25 is: 49,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,138.73 : 120,104.01 = 32,698.25 : x
  2. Step 2: Convert to fraction form
    80,138.73/120,104.01 = 32,698.25/x
  3. Step 3: Cross multiply
    80,138.73x = 120,104.01 × 32,698.25
  4. Step 4: Simplify right side
    80,138.73x = 3,927,190,344.46
  5. Step 5: Solve for x
    x = 3,927,190,344.46/80,138.73
  6. Step 6: Final answer
    x = 49,004.90

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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.