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Finding the Fourth Proportional to 117.94, 163.52 and 111.79

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Solution

The fourth proportional to 117.94, 163.52 and 111.79 is: 154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.94 : 163.52 = 111.79 : x
  2. Step 2: Convert to fraction form
    117.94/163.52 = 111.79/x
  3. Step 3: Cross multiply
    117.94x = 163.52 × 111.79
  4. Step 4: Simplify right side
    117.94x = 18,279.90
  5. Step 5: Solve for x
    x = 18,279.90/117.94
  6. Step 6: Final answer
    x = 154.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.