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Finding the Fourth Proportional to 120, 179.78 and 111.16

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Solution

The fourth proportional to 120, 179.78 and 111.16 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 179.78 = 111.16 : x
  2. Step 2: Convert to fraction form
    120/179.78 = 111.16/x
  3. Step 3: Cross multiply
    120x = 179.78 × 111.16
  4. Step 4: Simplify right side
    120x = 19,984.34
  5. Step 5: Solve for x
    x = 19,984.34/120
  6. Step 6: Final answer
    x = 166.54

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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.