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Finding the Fourth Proportional to 213,321.52, 319,923.96 and 80,191.56

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Solution

The fourth proportional to 213,321.52, 319,923.96 and 80,191.56 is: 120,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,321.52 : 319,923.96 = 80,191.56 : x
  2. Step 2: Convert to fraction form
    213,321.52/319,923.96 = 80,191.56/x
  3. Step 3: Cross multiply
    213,321.52x = 319,923.96 × 80,191.56
  4. Step 4: Simplify right side
    213,321.52x = 25,655,201,433.78
  5. Step 5: Solve for x
    x = 25,655,201,433.78/213,321.52
  6. Step 6: Final answer
    x = 120,265.42

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1.5x scale

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.