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Finding the Fourth Proportional to 217,912.64, 300,781.92 and 131,871.68

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Solution

The fourth proportional to 217,912.64, 300,781.92 and 131,871.68 is: 182,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,912.64 : 300,781.92 = 131,871.68 : x
  2. Step 2: Convert to fraction form
    217,912.64/300,781.92 = 131,871.68/x
  3. Step 3: Cross multiply
    217,912.64x = 300,781.92 × 131,871.68
  4. Step 4: Simplify right side
    217,912.64x = 39,664,617,104.03
  5. Step 5: Solve for x
    x = 39,664,617,104.03/217,912.64
  6. Step 6: Final answer
    x = 182,020.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.