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Finding the Fourth Proportional to 119.96, 166.31 and 112.60

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Solution

The fourth proportional to 119.96, 166.31 and 112.60 is: 156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.96 : 166.31 = 112.60 : x
  2. Step 2: Convert to fraction form
    119.96/166.31 = 112.60/x
  3. Step 3: Cross multiply
    119.96x = 166.31 × 112.60
  4. Step 4: Simplify right side
    119.96x = 18,726.51
  5. Step 5: Solve for x
    x = 18,726.51/119.96
  6. Step 6: Final answer
    x = 156.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.