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Finding the Fourth Proportional to 78.49, 107.66 and 68.77

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Solution

The fourth proportional to 78.49, 107.66 and 68.77 is: 94.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.49 : 107.66 = 68.77 : x
  2. Step 2: Convert to fraction form
    78.49/107.66 = 68.77/x
  3. Step 3: Cross multiply
    78.49x = 107.66 × 68.77
  4. Step 4: Simplify right side
    78.49x = 7,403.78
  5. Step 5: Solve for x
    x = 7,403.78/78.49
  6. Step 6: Final answer
    x = 94.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.