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Finding the Fourth Proportional to 137.82, 206.67 and 51.12

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Solution

The fourth proportional to 137.82, 206.67 and 51.12 is: 76.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 206.67 = 51.12 : x
  2. Step 2: Convert to fraction form
    137.82/206.67 = 51.12/x
  3. Step 3: Cross multiply
    137.82x = 206.67 × 51.12
  4. Step 4: Simplify right side
    137.82x = 10,564.97
  5. Step 5: Solve for x
    x = 10,564.97/137.82
  6. Step 6: Final answer
    x = 76.66

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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.