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Finding the Fourth Proportional to 117.40, 161.97 and 73.72

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Solution

The fourth proportional to 117.40, 161.97 and 73.72 is: 101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.40 : 161.97 = 73.72 : x
  2. Step 2: Convert to fraction form
    117.40/161.97 = 73.72/x
  3. Step 3: Cross multiply
    117.40x = 161.97 × 73.72
  4. Step 4: Simplify right side
    117.40x = 11,940.43
  5. Step 5: Solve for x
    x = 11,940.43/117.40
  6. Step 6: Final answer
    x = 101.71

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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.