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Finding the Fourth Proportional to 120.78, 166.62 and 79.33

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Solution

The fourth proportional to 120.78, 166.62 and 79.33 is: 109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 166.62 = 79.33 : x
  2. Step 2: Convert to fraction form
    120.78/166.62 = 79.33/x
  3. Step 3: Cross multiply
    120.78x = 166.62 × 79.33
  4. Step 4: Simplify right side
    120.78x = 13,217.96
  5. Step 5: Solve for x
    x = 13,217.96/120.78
  6. Step 6: Final answer
    x = 109.44

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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.