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Finding the Fourth Proportional to 81.84, 111.96 and 75.36

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Solution

The fourth proportional to 81.84, 111.96 and 75.36 is: 103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 111.96 = 75.36 : x
  2. Step 2: Convert to fraction form
    81.84/111.96 = 75.36/x
  3. Step 3: Cross multiply
    81.84x = 111.96 × 75.36
  4. Step 4: Simplify right side
    81.84x = 8,437.31
  5. Step 5: Solve for x
    x = 8,437.31/81.84
  6. Step 6: Final answer
    x = 103.10

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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.