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Finding the Fourth Proportional to 89.82, 134.94 and 72.78

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Solution

The fourth proportional to 89.82, 134.94 and 72.78 is: 109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.82 : 134.94 = 72.78 : x
  2. Step 2: Convert to fraction form
    89.82/134.94 = 72.78/x
  3. Step 3: Cross multiply
    89.82x = 134.94 × 72.78
  4. Step 4: Simplify right side
    89.82x = 9,820.93
  5. Step 5: Solve for x
    x = 9,820.93/89.82
  6. Step 6: Final answer
    x = 109.34

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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.