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Finding the Fourth Proportional to 192,900.97, 266,196 and 108,013.78

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Solution

The fourth proportional to 192,900.97, 266,196 and 108,013.78 is: 149,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,900.97 : 266,196 = 108,013.78 : x
  2. Step 2: Convert to fraction form
    192,900.97/266,196 = 108,013.78/x
  3. Step 3: Cross multiply
    192,900.97x = 266,196 × 108,013.78
  4. Step 4: Simplify right side
    192,900.97x = 28,752,836,180.88
  5. Step 5: Solve for x
    x = 28,752,836,180.88/192,900.97
  6. Step 6: Final answer
    x = 149,054.91

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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.