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Finding the Fourth Proportional to 180,115.20, 270,326.40 and 80,428.80

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Solution

The fourth proportional to 180,115.20, 270,326.40 and 80,428.80 is: 120,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,115.20 : 270,326.40 = 80,428.80 : x
  2. Step 2: Convert to fraction form
    180,115.20/270,326.40 = 80,428.80/x
  3. Step 3: Cross multiply
    180,115.20x = 270,326.40 × 80,428.80
  4. Step 4: Simplify right side
    180,115.20x = 21,742,027,960.32
  5. Step 5: Solve for x
    x = 21,742,027,960.32/180,115.20
  6. Step 6: Final answer
    x = 120,711.79

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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.