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Finding the Fourth Proportional to 137.51, 188.61 and 121.11

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Solution

The fourth proportional to 137.51, 188.61 and 121.11 is: 166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 188.61 = 121.11 : x
  2. Step 2: Convert to fraction form
    137.51/188.61 = 121.11/x
  3. Step 3: Cross multiply
    137.51x = 188.61 × 121.11
  4. Step 4: Simplify right side
    137.51x = 22,843.14
  5. Step 5: Solve for x
    x = 22,843.14/137.51
  6. Step 6: Final answer
    x = 166.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.