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Finding the Fourth Proportional to 88.78, 122.25 and 77.11

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Solution

The fourth proportional to 88.78, 122.25 and 77.11 is: 106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.78 : 122.25 = 77.11 : x
  2. Step 2: Convert to fraction form
    88.78/122.25 = 77.11/x
  3. Step 3: Cross multiply
    88.78x = 122.25 × 77.11
  4. Step 4: Simplify right side
    88.78x = 9,426.70
  5. Step 5: Solve for x
    x = 9,426.70/88.78
  6. Step 6: Final answer
    x = 106.18

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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.