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Finding the Fourth Proportional to 180,671.28, 270,963.36 and 75,433.20

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Solution

The fourth proportional to 180,671.28, 270,963.36 and 75,433.20 is: 113,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,671.28 : 270,963.36 = 75,433.20 : x
  2. Step 2: Convert to fraction form
    180,671.28/270,963.36 = 75,433.20/x
  3. Step 3: Cross multiply
    180,671.28x = 270,963.36 × 75,433.20
  4. Step 4: Simplify right side
    180,671.28x = 20,439,633,327.55
  5. Step 5: Solve for x
    x = 20,439,633,327.55/180,671.28
  6. Step 6: Final answer
    x = 113,131.61

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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.