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Finding the Fourth Proportional to 136.18, 187.81 and 105.09

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Solution

The fourth proportional to 136.18, 187.81 and 105.09 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.18 : 187.81 = 105.09 : x
  2. Step 2: Convert to fraction form
    136.18/187.81 = 105.09/x
  3. Step 3: Cross multiply
    136.18x = 187.81 × 105.09
  4. Step 4: Simplify right side
    136.18x = 19,736.95
  5. Step 5: Solve for x
    x = 19,736.95/136.18
  6. Step 6: Final answer
    x = 144.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.