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Finding the Fourth Proportional to 213,517.60, 320,053.80 and 80,306.08

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Solution

The fourth proportional to 213,517.60, 320,053.80 and 80,306.08 is: 120,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,517.60 : 320,053.80 = 80,306.08 : x
  2. Step 2: Convert to fraction form
    213,517.60/320,053.80 = 80,306.08/x
  3. Step 3: Cross multiply
    213,517.60x = 320,053.80 × 80,306.08
  4. Step 4: Simplify right side
    213,517.60x = 25,702,266,067.10
  5. Step 5: Solve for x
    x = 25,702,266,067.10/213,517.60
  6. Step 6: Final answer
    x = 120,375.40

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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.