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Finding the Fourth Proportional to 88.73, 121.78 and 80.50

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Solution

The fourth proportional to 88.73, 121.78 and 80.50 is: 110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.73 : 121.78 = 80.50 : x
  2. Step 2: Convert to fraction form
    88.73/121.78 = 80.50/x
  3. Step 3: Cross multiply
    88.73x = 121.78 × 80.50
  4. Step 4: Simplify right side
    88.73x = 9,802.78
  5. Step 5: Solve for x
    x = 9,802.78/88.73
  6. Step 6: Final answer
    x = 110.48

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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.