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Finding the Fourth Proportional to 119.71, 178.68 and 111.26

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Solution

The fourth proportional to 119.71, 178.68 and 111.26 is: 166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.71 : 178.68 = 111.26 : x
  2. Step 2: Convert to fraction form
    119.71/178.68 = 111.26/x
  3. Step 3: Cross multiply
    119.71x = 178.68 × 111.26
  4. Step 4: Simplify right side
    119.71x = 19,879.94
  5. Step 5: Solve for x
    x = 19,879.94/119.71
  6. Step 6: Final answer
    x = 166.07

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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.