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Finding the Fourth Proportional to 117.93, 161.67 and 117.81

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Solution

The fourth proportional to 117.93, 161.67 and 117.81 is: 161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.93 : 161.67 = 117.81 : x
  2. Step 2: Convert to fraction form
    117.93/161.67 = 117.81/x
  3. Step 3: Cross multiply
    117.93x = 161.67 × 117.81
  4. Step 4: Simplify right side
    117.93x = 19,046.34
  5. Step 5: Solve for x
    x = 19,046.34/117.93
  6. Step 6: Final answer
    x = 161.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.