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Finding the Fourth Proportional to 258,067, 387,133.31 and 71,078.50

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Solution

The fourth proportional to 258,067, 387,133.31 and 71,078.50 is: 106,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,067 : 387,133.31 = 71,078.50 : x
  2. Step 2: Convert to fraction form
    258,067/387,133.31 = 71,078.50/x
  3. Step 3: Cross multiply
    258,067x = 387,133.31 × 71,078.50
  4. Step 4: Simplify right side
    258,067x = 27,516,854,974.84
  5. Step 5: Solve for x
    x = 27,516,854,974.84/258,067
  6. Step 6: Final answer
    x = 106,626.79

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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.