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Finding the Fourth Proportional to 120.02, 180.22 and 113.92

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Solution

The fourth proportional to 120.02, 180.22 and 113.92 is: 171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.02 : 180.22 = 113.92 : x
  2. Step 2: Convert to fraction form
    120.02/180.22 = 113.92/x
  3. Step 3: Cross multiply
    120.02x = 180.22 × 113.92
  4. Step 4: Simplify right side
    120.02x = 20,530.66
  5. Step 5: Solve for x
    x = 20,530.66/120.02
  6. Step 6: Final answer
    x = 171.06

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