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Finding the Fourth Proportional to 258,759.78, 388,139.64 and 71,771.28

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Solution

The fourth proportional to 258,759.78, 388,139.64 and 71,771.28 is: 107,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,759.78 : 388,139.64 = 71,771.28 : x
  2. Step 2: Convert to fraction form
    258,759.78/388,139.64 = 71,771.28/x
  3. Step 3: Cross multiply
    258,759.78x = 388,139.64 × 71,771.28
  4. Step 4: Simplify right side
    258,759.78x = 27,857,278,781.54
  5. Step 5: Solve for x
    x = 27,857,278,781.54/258,759.78
  6. Step 6: Final answer
    x = 107,656.91

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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.