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Finding the Fourth Proportional to 137.82, 205.80 and 124.14

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Solution

The fourth proportional to 137.82, 205.80 and 124.14 is: 185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 205.80 = 124.14 : x
  2. Step 2: Convert to fraction form
    137.82/205.80 = 124.14/x
  3. Step 3: Cross multiply
    137.82x = 205.80 × 124.14
  4. Step 4: Simplify right side
    137.82x = 25,548.01
  5. Step 5: Solve for x
    x = 25,548.01/137.82
  6. Step 6: Final answer
    x = 185.37

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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.