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Finding the Fourth Proportional to 108.06, 161.30 and 92.56

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Solution

The fourth proportional to 108.06, 161.30 and 92.56 is: 138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.06 : 161.30 = 92.56 : x
  2. Step 2: Convert to fraction form
    108.06/161.30 = 92.56/x
  3. Step 3: Cross multiply
    108.06x = 161.30 × 92.56
  4. Step 4: Simplify right side
    108.06x = 14,929.93
  5. Step 5: Solve for x
    x = 14,929.93/108.06
  6. Step 6: Final answer
    x = 138.16

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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.