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Finding the Fourth Proportional to 149,199, 205,894.68 and 82,131

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Solution

The fourth proportional to 149,199, 205,894.68 and 82,131 is: 113,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,199 : 205,894.68 = 82,131 : x
  2. Step 2: Convert to fraction form
    149,199/205,894.68 = 82,131/x
  3. Step 3: Cross multiply
    149,199x = 205,894.68 × 82,131
  4. Step 4: Simplify right side
    149,199x = 16,910,335,963.08
  5. Step 5: Solve for x
    x = 16,910,335,963.08/149,199
  6. Step 6: Final answer
    x = 113,340.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.