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Finding the Fourth Proportional to 192,965.78, 266,292.78 and 117,514.28

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Solution

The fourth proportional to 192,965.78, 266,292.78 and 117,514.28 is: 162,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,965.78 : 266,292.78 = 117,514.28 : x
  2. Step 2: Convert to fraction form
    192,965.78/266,292.78 = 117,514.28/x
  3. Step 3: Cross multiply
    192,965.78x = 266,292.78 × 117,514.28
  4. Step 4: Simplify right side
    192,965.78x = 31,293,204,310.90
  5. Step 5: Solve for x
    x = 31,293,204,310.90/192,965.78
  6. Step 6: Final answer
    x = 162,169.71

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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.