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Finding the Fourth Proportional to 258,230.36, 387,367.85 and 71,241.86

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Solution

The fourth proportional to 258,230.36, 387,367.85 and 71,241.86 is: 106,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,230.36 : 387,367.85 = 71,241.86 : x
  2. Step 2: Convert to fraction form
    258,230.36/387,367.85 = 71,241.86/x
  3. Step 3: Cross multiply
    258,230.36x = 387,367.85 × 71,241.86
  4. Step 4: Simplify right side
    258,230.36x = 27,596,804,379.47
  5. Step 5: Solve for x
    x = 27,596,804,379.47/258,230.36
  6. Step 6: Final answer
    x = 106,868.94

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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.