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Finding the Fourth Proportional to 108.42, 161.67 and 92.94

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Solution

The fourth proportional to 108.42, 161.67 and 92.94 is: 138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 161.67 = 92.94 : x
  2. Step 2: Convert to fraction form
    108.42/161.67 = 92.94/x
  3. Step 3: Cross multiply
    108.42x = 161.67 × 92.94
  4. Step 4: Simplify right side
    108.42x = 15,025.61
  5. Step 5: Solve for x
    x = 15,025.61/108.42
  6. Step 6: Final answer
    x = 138.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.