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Finding the Fourth Proportional to 180,685.69, 270,832.82 and 80,708.20

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Solution

The fourth proportional to 180,685.69, 270,832.82 and 80,708.20 is: 120,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,685.69 : 270,832.82 = 80,708.20 : x
  2. Step 2: Convert to fraction form
    180,685.69/270,832.82 = 80,708.20/x
  3. Step 3: Cross multiply
    180,685.69x = 270,832.82 × 80,708.20
  4. Step 4: Simplify right side
    180,685.69x = 21,858,428,322.50
  5. Step 5: Solve for x
    x = 21,858,428,322.50/180,685.69
  6. Step 6: Final answer
    x = 120,974.87

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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.