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Finding the Fourth Proportional to 117.64, 163.19 and 111.49

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Solution

The fourth proportional to 117.64, 163.19 and 111.49 is: 154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.64 : 163.19 = 111.49 : x
  2. Step 2: Convert to fraction form
    117.64/163.19 = 111.49/x
  3. Step 3: Cross multiply
    117.64x = 163.19 × 111.49
  4. Step 4: Simplify right side
    117.64x = 18,194.05
  5. Step 5: Solve for x
    x = 18,194.05/117.64
  6. Step 6: Final answer
    x = 154.66

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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.