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Finding the Fourth Proportional to 258,229.75, 387,359.21 and 92,017.75

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Solution

The fourth proportional to 258,229.75, 387,359.21 and 92,017.75 is: 138,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,229.75 : 387,359.21 = 92,017.75 : x
  2. Step 2: Convert to fraction form
    258,229.75/387,359.21 = 92,017.75/x
  3. Step 3: Cross multiply
    258,229.75x = 387,359.21 × 92,017.75
  4. Step 4: Simplify right side
    258,229.75x = 35,643,922,945.98
  5. Step 5: Solve for x
    x = 35,643,922,945.98/258,229.75
  6. Step 6: Final answer
    x = 138,031.82

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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.