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Finding the Fourth Proportional to 136.89, 189.14 and 104.31

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Solution

The fourth proportional to 136.89, 189.14 and 104.31 is: 144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.89 : 189.14 = 104.31 : x
  2. Step 2: Convert to fraction form
    136.89/189.14 = 104.31/x
  3. Step 3: Cross multiply
    136.89x = 189.14 × 104.31
  4. Step 4: Simplify right side
    136.89x = 19,728.67
  5. Step 5: Solve for x
    x = 19,728.67/136.89
  6. Step 6: Final answer
    x = 144.12

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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.