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Finding the Fourth Proportional to 137.68, 207.60 and 121.84

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Solution

The fourth proportional to 137.68, 207.60 and 121.84 is: 183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.68 : 207.60 = 121.84 : x
  2. Step 2: Convert to fraction form
    137.68/207.60 = 121.84/x
  3. Step 3: Cross multiply
    137.68x = 207.60 × 121.84
  4. Step 4: Simplify right side
    137.68x = 25,293.98
  5. Step 5: Solve for x
    x = 25,293.98/137.68
  6. Step 6: Final answer
    x = 183.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.