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Finding the Fourth Proportional to 83,667.38, 115,467.17 and 51,842.48

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Solution

The fourth proportional to 83,667.38, 115,467.17 and 51,842.48 is: 71,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,667.38 : 115,467.17 = 51,842.48 : x
  2. Step 2: Convert to fraction form
    83,667.38/115,467.17 = 51,842.48/x
  3. Step 3: Cross multiply
    83,667.38x = 115,467.17 × 51,842.48
  4. Step 4: Simplify right side
    83,667.38x = 5,986,103,614.83
  5. Step 5: Solve for x
    x = 5,986,103,614.83/83,667.38
  6. Step 6: Final answer
    x = 71,546.45

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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.