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Finding the Fourth Proportional to 137.57, 189.65 and 121.17

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Solution

The fourth proportional to 137.57, 189.65 and 121.17 is: 167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 189.65 = 121.17 : x
  2. Step 2: Convert to fraction form
    137.57/189.65 = 121.17/x
  3. Step 3: Cross multiply
    137.57x = 189.65 × 121.17
  4. Step 4: Simplify right side
    137.57x = 22,979.48
  5. Step 5: Solve for x
    x = 22,979.48/137.57
  6. Step 6: Final answer
    x = 167.04

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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.