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Finding the Fourth Proportional to 120.78, 166.57 and 93.11

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Solution

The fourth proportional to 120.78, 166.57 and 93.11 is: 128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 166.57 = 93.11 : x
  2. Step 2: Convert to fraction form
    120.78/166.57 = 93.11/x
  3. Step 3: Cross multiply
    120.78x = 166.57 × 93.11
  4. Step 4: Simplify right side
    120.78x = 15,508.24
  5. Step 5: Solve for x
    x = 15,508.24/120.78
  6. Step 6: Final answer
    x = 128.40

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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.