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Finding the Fourth Proportional to 180,138.87, 270,202.16 and 85,414.43

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Solution

The fourth proportional to 180,138.87, 270,202.16 and 85,414.43 is: 128,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,138.87 : 270,202.16 = 85,414.43 : x
  2. Step 2: Convert to fraction form
    180,138.87/270,202.16 = 85,414.43/x
  3. Step 3: Cross multiply
    180,138.87x = 270,202.16 × 85,414.43
  4. Step 4: Simplify right side
    180,138.87x = 23,079,164,370.21
  5. Step 5: Solve for x
    x = 23,079,164,370.21/180,138.87
  6. Step 6: Final answer
    x = 128,118.74

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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.