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Finding the Fourth Proportional to 120.14, 179.89 and 59.14

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Solution

The fourth proportional to 120.14, 179.89 and 59.14 is: 88.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.14 : 179.89 = 59.14 : x
  2. Step 2: Convert to fraction form
    120.14/179.89 = 59.14/x
  3. Step 3: Cross multiply
    120.14x = 179.89 × 59.14
  4. Step 4: Simplify right side
    120.14x = 10,638.69
  5. Step 5: Solve for x
    x = 10,638.69/120.14
  6. Step 6: Final answer
    x = 88.55

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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.