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Finding the Fourth Proportional to 136,691.21, 205,105.97 and 92,224.51

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Solution

The fourth proportional to 136,691.21, 205,105.97 and 92,224.51 is: 138,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,691.21 : 205,105.97 = 92,224.51 : x
  2. Step 2: Convert to fraction form
    136,691.21/205,105.97 = 92,224.51/x
  3. Step 3: Cross multiply
    136,691.21x = 205,105.97 × 92,224.51
  4. Step 4: Simplify right side
    136,691.21x = 18,915,797,299.12
  5. Step 5: Solve for x
    x = 18,915,797,299.12/136,691.21
  6. Step 6: Final answer
    x = 138,383.42

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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.