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Finding the Fourth Proportional to 108.32, 163.11 and 78.09

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Solution

The fourth proportional to 108.32, 163.11 and 78.09 is: 117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.32 : 163.11 = 78.09 : x
  2. Step 2: Convert to fraction form
    108.32/163.11 = 78.09/x
  3. Step 3: Cross multiply
    108.32x = 163.11 × 78.09
  4. Step 4: Simplify right side
    108.32x = 12,736.87
  5. Step 5: Solve for x
    x = 12,736.87/108.32
  6. Step 6: Final answer
    x = 117.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.