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Finding the Fourth Proportional to 213,995.28, 320,718.24 and 80,716.80

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Solution

The fourth proportional to 213,995.28, 320,718.24 and 80,716.80 is: 120,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,995.28 : 320,718.24 = 80,716.80 : x
  2. Step 2: Convert to fraction form
    213,995.28/320,718.24 = 80,716.80/x
  3. Step 3: Cross multiply
    213,995.28x = 320,718.24 × 80,716.80
  4. Step 4: Simplify right side
    213,995.28x = 25,887,350,034.43
  5. Step 5: Solve for x
    x = 25,887,350,034.43/213,995.28
  6. Step 6: Final answer
    x = 120,971.59

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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.