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Finding the Fourth Proportional to 119.53, 178.06 and 112.06

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Solution

The fourth proportional to 119.53, 178.06 and 112.06 is: 166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.53 : 178.06 = 112.06 : x
  2. Step 2: Convert to fraction form
    119.53/178.06 = 112.06/x
  3. Step 3: Cross multiply
    119.53x = 178.06 × 112.06
  4. Step 4: Simplify right side
    119.53x = 19,952.68
  5. Step 5: Solve for x
    x = 19,952.68/119.53
  6. Step 6: Final answer
    x = 166.93

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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.