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Finding the Fourth Proportional to 137.82, 205.74 and 124.74

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Solution

The fourth proportional to 137.82, 205.74 and 124.74 is: 186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 205.74 = 124.74 : x
  2. Step 2: Convert to fraction form
    137.82/205.74 = 124.74/x
  3. Step 3: Cross multiply
    137.82x = 205.74 × 124.74
  4. Step 4: Simplify right side
    137.82x = 25,664.01
  5. Step 5: Solve for x
    x = 25,664.01/137.82
  6. Step 6: Final answer
    x = 186.21

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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.