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Finding the Fourth Proportional to 88.54, 121.98 and 83.68

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Solution

The fourth proportional to 88.54, 121.98 and 83.68 is: 115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.54 : 121.98 = 83.68 : x
  2. Step 2: Convert to fraction form
    88.54/121.98 = 83.68/x
  3. Step 3: Cross multiply
    88.54x = 121.98 × 83.68
  4. Step 4: Simplify right side
    88.54x = 10,207.29
  5. Step 5: Solve for x
    x = 10,207.29/88.54
  6. Step 6: Final answer
    x = 115.28

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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.