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Finding the Fourth Proportional to 137.11, 189.21 and 84.68

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Solution

The fourth proportional to 137.11, 189.21 and 84.68 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.11 : 189.21 = 84.68 : x
  2. Step 2: Convert to fraction form
    137.11/189.21 = 84.68/x
  3. Step 3: Cross multiply
    137.11x = 189.21 × 84.68
  4. Step 4: Simplify right side
    137.11x = 16,020.93
  5. Step 5: Solve for x
    x = 16,020.93/137.11
  6. Step 6: Final answer
    x = 116.85

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Why These Related Problems?

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