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Finding the Fourth Proportional to 109,975.70, 165,046.48 and 80,469.66

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Solution

The fourth proportional to 109,975.70, 165,046.48 and 80,469.66 is: 120,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,975.70 : 165,046.48 = 80,469.66 : x
  2. Step 2: Convert to fraction form
    109,975.70/165,046.48 = 80,469.66/x
  3. Step 3: Cross multiply
    109,975.70x = 165,046.48 × 80,469.66
  4. Step 4: Simplify right side
    109,975.70x = 13,281,234,129.80
  5. Step 5: Solve for x
    x = 13,281,234,129.80/109,975.70
  6. Step 6: Final answer
    x = 120,765.17

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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.