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Finding the Fourth Proportional to 108.54, 162.68 and 57.11

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Solution

The fourth proportional to 108.54, 162.68 and 57.11 is: 85.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.54 : 162.68 = 57.11 : x
  2. Step 2: Convert to fraction form
    108.54/162.68 = 57.11/x
  3. Step 3: Cross multiply
    108.54x = 162.68 × 57.11
  4. Step 4: Simplify right side
    108.54x = 9,289.56
  5. Step 5: Solve for x
    x = 9,289.56/108.54
  6. Step 6: Final answer
    x = 85.59

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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.