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Finding the Fourth Proportional to 137.88, 206.37 and 112.14

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Solution

The fourth proportional to 137.88, 206.37 and 112.14 is: 167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.88 : 206.37 = 112.14 : x
  2. Step 2: Convert to fraction form
    137.88/206.37 = 112.14/x
  3. Step 3: Cross multiply
    137.88x = 206.37 × 112.14
  4. Step 4: Simplify right side
    137.88x = 23,142.33
  5. Step 5: Solve for x
    x = 23,142.33/137.88
  6. Step 6: Final answer
    x = 167.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.