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Finding the Fourth Proportional to 258,125.94, 386,359.86 and 137,882.22

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Solution

The fourth proportional to 258,125.94, 386,359.86 and 137,882.22 is: 206,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,125.94 : 386,359.86 = 137,882.22 : x
  2. Step 2: Convert to fraction form
    258,125.94/386,359.86 = 137,882.22/x
  3. Step 3: Cross multiply
    258,125.94x = 386,359.86 × 137,882.22
  4. Step 4: Simplify right side
    258,125.94x = 53,272,155,215.69
  5. Step 5: Solve for x
    x = 53,272,155,215.69/258,125.94
  6. Step 6: Final answer
    x = 206,380.48

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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.