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Finding the Fourth Proportional to 180,609.12, 270,939.08 and 75,404.16

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Solution

The fourth proportional to 180,609.12, 270,939.08 and 75,404.16 is: 113,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,609.12 : 270,939.08 = 75,404.16 : x
  2. Step 2: Convert to fraction form
    180,609.12/270,939.08 = 75,404.16/x
  3. Step 3: Cross multiply
    180,609.12x = 270,939.08 × 75,404.16
  4. Step 4: Simplify right side
    180,609.12x = 20,429,933,738.57
  5. Step 5: Solve for x
    x = 20,429,933,738.57/180,609.12
  6. Step 6: Final answer
    x = 113,116.84

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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.