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Finding the Fourth Proportional to 77.82, 107.37 and 50.20

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Solution

The fourth proportional to 77.82, 107.37 and 50.20 is: 69.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 107.37 = 50.20 : x
  2. Step 2: Convert to fraction form
    77.82/107.37 = 50.20/x
  3. Step 3: Cross multiply
    77.82x = 107.37 × 50.20
  4. Step 4: Simplify right side
    77.82x = 5,389.97
  5. Step 5: Solve for x
    x = 5,389.97/77.82
  6. Step 6: Final answer
    x = 69.26

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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.