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Finding the Fourth Proportional to 258,843.12, 388,264.56 and 71,854.56

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Solution

The fourth proportional to 258,843.12, 388,264.56 and 71,854.56 is: 107,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,843.12 : 388,264.56 = 71,854.56 : x
  2. Step 2: Convert to fraction form
    258,843.12/388,264.56 = 71,854.56/x
  3. Step 3: Cross multiply
    258,843.12x = 388,264.56 × 71,854.56
  4. Step 4: Simplify right side
    258,843.12x = 27,898,579,122.39
  5. Step 5: Solve for x
    x = 27,898,579,122.39/258,843.12
  6. Step 6: Final answer
    x = 107,781.81

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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.