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Finding the Fourth Proportional to 78.23, 107.94 and 43.73

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Solution

The fourth proportional to 78.23, 107.94 and 43.73 is: 60.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.23 : 107.94 = 43.73 : x
  2. Step 2: Convert to fraction form
    78.23/107.94 = 43.73/x
  3. Step 3: Cross multiply
    78.23x = 107.94 × 43.73
  4. Step 4: Simplify right side
    78.23x = 4,719.68
  5. Step 5: Solve for x
    x = 4,719.68/78.23
  6. Step 6: Final answer
    x = 60.33

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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.