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Finding the Fourth Proportional to 213,785.88, 320,734.14 and 80,667.27

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Solution

The fourth proportional to 213,785.88, 320,734.14 and 80,667.27 is: 121,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,785.88 : 320,734.14 = 80,667.27 : x
  2. Step 2: Convert to fraction form
    213,785.88/320,734.14 = 80,667.27/x
  3. Step 3: Cross multiply
    213,785.88x = 320,734.14 × 80,667.27
  4. Step 4: Simplify right side
    213,785.88x = 25,872,747,469.60
  5. Step 5: Solve for x
    x = 25,872,747,469.60/213,785.88
  6. Step 6: Final answer
    x = 121,021.78

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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.