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Finding the Fourth Proportional to 258,141.74, 387,251.89 and 131,712.89

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Solution

The fourth proportional to 258,141.74, 387,251.89 and 131,712.89 is: 197,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,141.74 : 387,251.89 = 131,712.89 : x
  2. Step 2: Convert to fraction form
    258,141.74/387,251.89 = 131,712.89/x
  3. Step 3: Cross multiply
    258,141.74x = 387,251.89 × 131,712.89
  4. Step 4: Simplify right side
    258,141.74x = 51,006,063,324.32
  5. Step 5: Solve for x
    x = 51,006,063,324.32/258,141.74
  6. Step 6: Final answer
    x = 197,589.37

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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.