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Finding the Fourth Proportional to 168.12, 252 and 85.70

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Solution

The fourth proportional to 168.12, 252 and 85.70 is: 128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.12 : 252 = 85.70 : x
  2. Step 2: Convert to fraction form
    168.12/252 = 85.70/x
  3. Step 3: Cross multiply
    168.12x = 252 × 85.70
  4. Step 4: Simplify right side
    168.12x = 21,596.40
  5. Step 5: Solve for x
    x = 21,596.40/168.12
  6. Step 6: Final answer
    x = 128.46

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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.