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Finding the Fourth Proportional to 258,912.96, 387,871.92 and 158,781.24

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Solution

The fourth proportional to 258,912.96, 387,871.92 and 158,781.24 is: 237,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,912.96 : 387,871.92 = 158,781.24 : x
  2. Step 2: Convert to fraction form
    258,912.96/387,871.92 = 158,781.24/x
  3. Step 3: Cross multiply
    258,912.96x = 387,871.92 × 158,781.24
  4. Step 4: Simplify right side
    258,912.96x = 61,586,784,418.78
  5. Step 5: Solve for x
    x = 61,586,784,418.78/258,912.96
  6. Step 6: Final answer
    x = 237,866.75

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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.