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Finding the Fourth Proportional to 119.11, 164.42 and 72.49

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Solution

The fourth proportional to 119.11, 164.42 and 72.49 is: 100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.11 : 164.42 = 72.49 : x
  2. Step 2: Convert to fraction form
    119.11/164.42 = 72.49/x
  3. Step 3: Cross multiply
    119.11x = 164.42 × 72.49
  4. Step 4: Simplify right side
    119.11x = 11,918.87
  5. Step 5: Solve for x
    x = 11,918.87/119.11
  6. Step 6: Final answer
    x = 100.07

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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.