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Finding the Fourth Proportional to 120.78, 166.75 and 100.11

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Solution

The fourth proportional to 120.78, 166.75 and 100.11 is: 138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 166.75 = 100.11 : x
  2. Step 2: Convert to fraction form
    120.78/166.75 = 100.11/x
  3. Step 3: Cross multiply
    120.78x = 166.75 × 100.11
  4. Step 4: Simplify right side
    120.78x = 16,693.34
  5. Step 5: Solve for x
    x = 16,693.34/120.78
  6. Step 6: Final answer
    x = 138.21

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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.