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Finding the Fourth Proportional to 96.86, 133.05 and 78.36

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Solution

The fourth proportional to 96.86, 133.05 and 78.36 is: 107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.86 : 133.05 = 78.36 : x
  2. Step 2: Convert to fraction form
    96.86/133.05 = 78.36/x
  3. Step 3: Cross multiply
    96.86x = 133.05 × 78.36
  4. Step 4: Simplify right side
    96.86x = 10,425.80
  5. Step 5: Solve for x
    x = 10,425.80/96.86
  6. Step 6: Final answer
    x = 107.64

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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.