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Finding the Fourth Proportional to 217,760.34, 326,765.25 and 84,623.34

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Solution

The fourth proportional to 217,760.34, 326,765.25 and 84,623.34 is: 126,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,760.34 : 326,765.25 = 84,623.34 : x
  2. Step 2: Convert to fraction form
    217,760.34/326,765.25 = 84,623.34/x
  3. Step 3: Cross multiply
    217,760.34x = 326,765.25 × 84,623.34
  4. Step 4: Simplify right side
    217,760.34x = 27,651,966,850.94
  5. Step 5: Solve for x
    x = 27,651,966,850.94/217,760.34
  6. Step 6: Final answer
    x = 126,983.48

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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.