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Finding the Fourth Proportional to 78.30, 107.12 and 77.94

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Solution

The fourth proportional to 78.30, 107.12 and 77.94 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 107.12 = 77.94 : x
  2. Step 2: Convert to fraction form
    78.30/107.12 = 77.94/x
  3. Step 3: Cross multiply
    78.30x = 107.12 × 77.94
  4. Step 4: Simplify right side
    78.30x = 8,348.54
  5. Step 5: Solve for x
    x = 8,348.54/78.30
  6. Step 6: Final answer
    x = 106.62

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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.