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Finding the Fourth Proportional to 168,067.89, 231,978.47 and 99,217.89

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Solution

The fourth proportional to 168,067.89, 231,978.47 and 99,217.89 is: 136,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,067.89 : 231,978.47 = 99,217.89 : x
  2. Step 2: Convert to fraction form
    168,067.89/231,978.47 = 99,217.89/x
  3. Step 3: Cross multiply
    168,067.89x = 231,978.47 × 99,217.89
  4. Step 4: Simplify right side
    168,067.89x = 23,016,413,822.74
  5. Step 5: Solve for x
    x = 23,016,413,822.74/168,067.89
  6. Step 6: Final answer
    x = 136,947.12

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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.