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Finding the Fourth Proportional to 137.82, 205.50 and 123.84

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Solution

The fourth proportional to 137.82, 205.50 and 123.84 is: 184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 205.50 = 123.84 : x
  2. Step 2: Convert to fraction form
    137.82/205.50 = 123.84/x
  3. Step 3: Cross multiply
    137.82x = 205.50 × 123.84
  4. Step 4: Simplify right side
    137.82x = 25,449.12
  5. Step 5: Solve for x
    x = 25,449.12/137.82
  6. Step 6: Final answer
    x = 184.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.