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Finding the Fourth Proportional to 111.24, 165.51 and 108.81

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Solution

The fourth proportional to 111.24, 165.51 and 108.81 is: 161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.24 : 165.51 = 108.81 : x
  2. Step 2: Convert to fraction form
    111.24/165.51 = 108.81/x
  3. Step 3: Cross multiply
    111.24x = 165.51 × 108.81
  4. Step 4: Simplify right side
    111.24x = 18,009.14
  5. Step 5: Solve for x
    x = 18,009.14/111.24
  6. Step 6: Final answer
    x = 161.89

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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.