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Finding the Fourth Proportional to 106.92, 147.96 and 92.34

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Solution

The fourth proportional to 106.92, 147.96 and 92.34 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.92 : 147.96 = 92.34 : x
  2. Step 2: Convert to fraction form
    106.92/147.96 = 92.34/x
  3. Step 3: Cross multiply
    106.92x = 147.96 × 92.34
  4. Step 4: Simplify right side
    106.92x = 13,662.63
  5. Step 5: Solve for x
    x = 13,662.63/106.92
  6. Step 6: Final answer
    x = 127.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.