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Finding the Fourth Proportional to 117.23, 174.60 and 109.73

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Solution

The fourth proportional to 117.23, 174.60 and 109.73 is: 163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.23 : 174.60 = 109.73 : x
  2. Step 2: Convert to fraction form
    117.23/174.60 = 109.73/x
  3. Step 3: Cross multiply
    117.23x = 174.60 × 109.73
  4. Step 4: Simplify right side
    117.23x = 19,158.31
  5. Step 5: Solve for x
    x = 19,158.31/117.23
  6. Step 6: Final answer
    x = 163.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.