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Finding the Fourth Proportional to 137.62, 189.48 and 119.08

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Solution

The fourth proportional to 137.62, 189.48 and 119.08 is: 163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.62 : 189.48 = 119.08 : x
  2. Step 2: Convert to fraction form
    137.62/189.48 = 119.08/x
  3. Step 3: Cross multiply
    137.62x = 189.48 × 119.08
  4. Step 4: Simplify right side
    137.62x = 22,563.28
  5. Step 5: Solve for x
    x = 22,563.28/137.62
  6. Step 6: Final answer
    x = 163.95

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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.