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Finding the Fourth Proportional to 110.89, 152.85 and 78.09

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Solution

The fourth proportional to 110.89, 152.85 and 78.09 is: 107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.89 : 152.85 = 78.09 : x
  2. Step 2: Convert to fraction form
    110.89/152.85 = 78.09/x
  3. Step 3: Cross multiply
    110.89x = 152.85 × 78.09
  4. Step 4: Simplify right side
    110.89x = 11,936.06
  5. Step 5: Solve for x
    x = 11,936.06/110.89
  6. Step 6: Final answer
    x = 107.64

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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.