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Finding the Fourth Proportional to 89.19, 122.79 and 76.84

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Solution

The fourth proportional to 89.19, 122.79 and 76.84 is: 105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.19 : 122.79 = 76.84 : x
  2. Step 2: Convert to fraction form
    89.19/122.79 = 76.84/x
  3. Step 3: Cross multiply
    89.19x = 122.79 × 76.84
  4. Step 4: Simplify right side
    89.19x = 9,434.80
  5. Step 5: Solve for x
    x = 9,434.80/89.19
  6. Step 6: Final answer
    x = 105.78

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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.