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Finding the Fourth Proportional to 117.69, 163.17 and 111.54

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Solution

The fourth proportional to 117.69, 163.17 and 111.54 is: 154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.69 : 163.17 = 111.54 : x
  2. Step 2: Convert to fraction form
    117.69/163.17 = 111.54/x
  3. Step 3: Cross multiply
    117.69x = 163.17 × 111.54
  4. Step 4: Simplify right side
    117.69x = 18,199.98
  5. Step 5: Solve for x
    x = 18,199.98/117.69
  6. Step 6: Final answer
    x = 154.64

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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.