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Finding the Fourth Proportional to 119.02, 179.44 and 112.06

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Solution

The fourth proportional to 119.02, 179.44 and 112.06 is: 168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.02 : 179.44 = 112.06 : x
  2. Step 2: Convert to fraction form
    119.02/179.44 = 112.06/x
  3. Step 3: Cross multiply
    119.02x = 179.44 × 112.06
  4. Step 4: Simplify right side
    119.02x = 20,108.05
  5. Step 5: Solve for x
    x = 20,108.05/119.02
  6. Step 6: Final answer
    x = 168.95

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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.