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Finding the Fourth Proportional to 258,067.71, 387,101.42 and 80,589.93

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Solution

The fourth proportional to 258,067.71, 387,101.42 and 80,589.93 is: 120,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,067.71 : 387,101.42 = 80,589.93 : x
  2. Step 2: Convert to fraction form
    258,067.71/387,101.42 = 80,589.93/x
  3. Step 3: Cross multiply
    258,067.71x = 387,101.42 × 80,589.93
  4. Step 4: Simplify right side
    258,067.71x = 31,196,476,542.18
  5. Step 5: Solve for x
    x = 31,196,476,542.18/258,067.71
  6. Step 6: Final answer
    x = 120,884.85

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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.