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Finding the Fourth Proportional to 111.84, 154.36 and 68.17

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Solution

The fourth proportional to 111.84, 154.36 and 68.17 is: 94.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 154.36 = 68.17 : x
  2. Step 2: Convert to fraction form
    111.84/154.36 = 68.17/x
  3. Step 3: Cross multiply
    111.84x = 154.36 × 68.17
  4. Step 4: Simplify right side
    111.84x = 10,523.00
  5. Step 5: Solve for x
    x = 10,523.00/111.84
  6. Step 6: Final answer
    x = 94.09

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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.