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Finding the Fourth Proportional to 120.24, 180.66 and 111.36

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Solution

The fourth proportional to 120.24, 180.66 and 111.36 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 180.66 = 111.36 : x
  2. Step 2: Convert to fraction form
    120.24/180.66 = 111.36/x
  3. Step 3: Cross multiply
    120.24x = 180.66 × 111.36
  4. Step 4: Simplify right side
    120.24x = 20,118.30
  5. Step 5: Solve for x
    x = 20,118.30/120.24
  6. Step 6: Final answer
    x = 167.32

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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.