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Finding the Fourth Proportional to 137.87, 190.22 and 78.84

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Solution

The fourth proportional to 137.87, 190.22 and 78.84 is: 108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.87 : 190.22 = 78.84 : x
  2. Step 2: Convert to fraction form
    137.87/190.22 = 78.84/x
  3. Step 3: Cross multiply
    137.87x = 190.22 × 78.84
  4. Step 4: Simplify right side
    137.87x = 14,997.14
  5. Step 5: Solve for x
    x = 14,997.14/137.87
  6. Step 6: Final answer
    x = 108.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.