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Finding the Fourth Proportional to 108.92, 163.24 and 78.43

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Solution

The fourth proportional to 108.92, 163.24 and 78.43 is: 117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.92 : 163.24 = 78.43 : x
  2. Step 2: Convert to fraction form
    108.92/163.24 = 78.43/x
  3. Step 3: Cross multiply
    108.92x = 163.24 × 78.43
  4. Step 4: Simplify right side
    108.92x = 12,802.10
  5. Step 5: Solve for x
    x = 12,802.10/108.92
  6. Step 6: Final answer
    x = 117.54

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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.