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Finding the Fourth Proportional to 88.36, 121.86 and 83.88

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Solution

The fourth proportional to 88.36, 121.86 and 83.88 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.36 : 121.86 = 83.88 : x
  2. Step 2: Convert to fraction form
    88.36/121.86 = 83.88/x
  3. Step 3: Cross multiply
    88.36x = 121.86 × 83.88
  4. Step 4: Simplify right side
    88.36x = 10,221.62
  5. Step 5: Solve for x
    x = 10,221.62/88.36
  6. Step 6: Final answer
    x = 115.68

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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.