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Finding the Fourth Proportional to 180,116.20, 270,327.90 and 80,429.80

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Solution

The fourth proportional to 180,116.20, 270,327.90 and 80,429.80 is: 120,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,116.20 : 270,327.90 = 80,429.80 : x
  2. Step 2: Convert to fraction form
    180,116.20/270,327.90 = 80,429.80/x
  3. Step 3: Cross multiply
    180,116.20x = 270,327.90 × 80,429.80
  4. Step 4: Simplify right side
    180,116.20x = 21,742,418,931.42
  5. Step 5: Solve for x
    x = 21,742,418,931.42/180,116.20
  6. Step 6: Final answer
    x = 120,713.29

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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.