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Finding the Fourth Proportional to 213,491.97, 319,991.40 and 80,287.20

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Solution

The fourth proportional to 213,491.97, 319,991.40 and 80,287.20 is: 120,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,491.97 : 319,991.40 = 80,287.20 : x
  2. Step 2: Convert to fraction form
    213,491.97/319,991.40 = 80,287.20/x
  3. Step 3: Cross multiply
    213,491.97x = 319,991.40 × 80,287.20
  4. Step 4: Simplify right side
    213,491.97x = 25,691,213,530.08
  5. Step 5: Solve for x
    x = 25,691,213,530.08/213,491.97
  6. Step 6: Final answer
    x = 120,338.08

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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.