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Finding the Fourth Proportional to 258,167.27, 387,238.56 and 98,279.96

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Solution

The fourth proportional to 258,167.27, 387,238.56 and 98,279.96 is: 147,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,167.27 : 387,238.56 = 98,279.96 : x
  2. Step 2: Convert to fraction form
    258,167.27/387,238.56 = 98,279.96/x
  3. Step 3: Cross multiply
    258,167.27x = 387,238.56 × 98,279.96
  4. Step 4: Simplify right side
    258,167.27x = 38,057,788,251.06
  5. Step 5: Solve for x
    x = 38,057,788,251.06/258,167.27
  6. Step 6: Final answer
    x = 147,415.24

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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.