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Finding the Fourth Proportional to 258,135, 386,373.33 and 137,891.31

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Solution

The fourth proportional to 258,135, 386,373.33 and 137,891.31 is: 206,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,135 : 386,373.33 = 137,891.31 : x
  2. Step 2: Convert to fraction form
    258,135/386,373.33 = 137,891.31/x
  3. Step 3: Cross multiply
    258,135x = 386,373.33 × 137,891.31
  4. Step 4: Simplify right side
    258,135x = 53,277,524,622.76
  5. Step 5: Solve for x
    x = 53,277,524,622.76/258,135
  6. Step 6: Final answer
    x = 206,394.04

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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.