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Finding the Fourth Proportional to 78.05, 107.68 and 46.96

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Solution

The fourth proportional to 78.05, 107.68 and 46.96 is: 64.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.05 : 107.68 = 46.96 : x
  2. Step 2: Convert to fraction form
    78.05/107.68 = 46.96/x
  3. Step 3: Cross multiply
    78.05x = 107.68 × 46.96
  4. Step 4: Simplify right side
    78.05x = 5,056.65
  5. Step 5: Solve for x
    x = 5,056.65/78.05
  6. Step 6: Final answer
    x = 64.79

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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.