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Finding the Fourth Proportional to 78.75, 118.04 and 75.33

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Solution

The fourth proportional to 78.75, 118.04 and 75.33 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.75 : 118.04 = 75.33 : x
  2. Step 2: Convert to fraction form
    78.75/118.04 = 75.33/x
  3. Step 3: Cross multiply
    78.75x = 118.04 × 75.33
  4. Step 4: Simplify right side
    78.75x = 8,891.58
  5. Step 5: Solve for x
    x = 8,891.58/78.75
  6. Step 6: Final answer
    x = 112.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.