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Finding the Fourth Proportional to 88.18, 121.60 and 77.56

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Solution

The fourth proportional to 88.18, 121.60 and 77.56 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.18 : 121.60 = 77.56 : x
  2. Step 2: Convert to fraction form
    88.18/121.60 = 77.56/x
  3. Step 3: Cross multiply
    88.18x = 121.60 × 77.56
  4. Step 4: Simplify right side
    88.18x = 9,431.30
  5. Step 5: Solve for x
    x = 9,431.30/88.18
  6. Step 6: Final answer
    x = 106.96

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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.