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Finding the Fourth Proportional to 180,512.48, 270,576.72 and 68,144.96

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Solution

The fourth proportional to 180,512.48, 270,576.72 and 68,144.96 is: 102,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,512.48 : 270,576.72 = 68,144.96 : x
  2. Step 2: Convert to fraction form
    180,512.48/270,576.72 = 68,144.96/x
  3. Step 3: Cross multiply
    180,512.48x = 270,576.72 × 68,144.96
  4. Step 4: Simplify right side
    180,512.48x = 18,438,439,761.33
  5. Step 5: Solve for x
    x = 18,438,439,761.33/180,512.48
  6. Step 6: Final answer
    x = 102,144.96

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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.