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Finding the Fourth Proportional to 119.54, 180.12 and 108.14

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Solution

The fourth proportional to 119.54, 180.12 and 108.14 is: 162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.54 : 180.12 = 108.14 : x
  2. Step 2: Convert to fraction form
    119.54/180.12 = 108.14/x
  3. Step 3: Cross multiply
    119.54x = 180.12 × 108.14
  4. Step 4: Simplify right side
    119.54x = 19,477.64
  5. Step 5: Solve for x
    x = 19,477.64/119.54
  6. Step 6: Final answer
    x = 162.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.