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Finding the Fourth Proportional to 121,469.10, 182,203.65 and 114,081.90

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Solution

The fourth proportional to 121,469.10, 182,203.65 and 114,081.90 is: 171,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,469.10 : 182,203.65 = 114,081.90 : x
  2. Step 2: Convert to fraction form
    121,469.10/182,203.65 = 114,081.90/x
  3. Step 3: Cross multiply
    121,469.10x = 182,203.65 × 114,081.90
  4. Step 4: Simplify right side
    121,469.10x = 20,786,138,578.94
  5. Step 5: Solve for x
    x = 20,786,138,578.94/121,469.10
  6. Step 6: Final answer
    x = 171,122.85

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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.