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Finding the Fourth Proportional to 121.14, 180.54 and 120.42

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Solution

The fourth proportional to 121.14, 180.54 and 120.42 is: 179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.14 : 180.54 = 120.42 : x
  2. Step 2: Convert to fraction form
    121.14/180.54 = 120.42/x
  3. Step 3: Cross multiply
    121.14x = 180.54 × 120.42
  4. Step 4: Simplify right side
    121.14x = 21,740.63
  5. Step 5: Solve for x
    x = 21,740.63/121.14
  6. Step 6: Final answer
    x = 179.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.