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Finding the Fourth Proportional to 258,251, 387,391.14 and 92,039

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Solution

The fourth proportional to 258,251, 387,391.14 and 92,039 is: 138,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,251 : 387,391.14 = 92,039 : x
  2. Step 2: Convert to fraction form
    258,251/387,391.14 = 92,039/x
  3. Step 3: Cross multiply
    258,251x = 387,391.14 × 92,039
  4. Step 4: Simplify right side
    258,251x = 35,655,093,134.46
  5. Step 5: Solve for x
    x = 35,655,093,134.46/258,251
  6. Step 6: Final answer
    x = 138,063.72

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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.