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Finding the Fourth Proportional to 119.74, 164.91 and 111.82

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Solution

The fourth proportional to 119.74, 164.91 and 111.82 is: 154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.74 : 164.91 = 111.82 : x
  2. Step 2: Convert to fraction form
    119.74/164.91 = 111.82/x
  3. Step 3: Cross multiply
    119.74x = 164.91 × 111.82
  4. Step 4: Simplify right side
    119.74x = 18,440.24
  5. Step 5: Solve for x
    x = 18,440.24/119.74
  6. Step 6: Final answer
    x = 154.00

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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.