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Finding the Fourth Proportional to 119.99, 178.93 and 111.17

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Solution

The fourth proportional to 119.99, 178.93 and 111.17 is: 165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.99 : 178.93 = 111.17 : x
  2. Step 2: Convert to fraction form
    119.99/178.93 = 111.17/x
  3. Step 3: Cross multiply
    119.99x = 178.93 × 111.17
  4. Step 4: Simplify right side
    119.99x = 19,891.65
  5. Step 5: Solve for x
    x = 19,891.65/119.99
  6. Step 6: Final answer
    x = 165.78

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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.