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Finding the Fourth Proportional to 88.35, 121.84 and 76.05

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Solution

The fourth proportional to 88.35, 121.84 and 76.05 is: 104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.35 : 121.84 = 76.05 : x
  2. Step 2: Convert to fraction form
    88.35/121.84 = 76.05/x
  3. Step 3: Cross multiply
    88.35x = 121.84 × 76.05
  4. Step 4: Simplify right side
    88.35x = 9,265.93
  5. Step 5: Solve for x
    x = 9,265.93/88.35
  6. Step 6: Final answer
    x = 104.88

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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.