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Finding the Fourth Proportional to 111.98, 154.51 and 77.09

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Solution

The fourth proportional to 111.98, 154.51 and 77.09 is: 106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.98 : 154.51 = 77.09 : x
  2. Step 2: Convert to fraction form
    111.98/154.51 = 77.09/x
  3. Step 3: Cross multiply
    111.98x = 154.51 × 77.09
  4. Step 4: Simplify right side
    111.98x = 11,910.21
  5. Step 5: Solve for x
    x = 11,910.21/111.98
  6. Step 6: Final answer
    x = 106.36

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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.