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Finding the Fourth Proportional to 112.15, 167.09 and 105.94

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Solution

The fourth proportional to 112.15, 167.09 and 105.94 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.15 : 167.09 = 105.94 : x
  2. Step 2: Convert to fraction form
    112.15/167.09 = 105.94/x
  3. Step 3: Cross multiply
    112.15x = 167.09 × 105.94
  4. Step 4: Simplify right side
    112.15x = 17,701.51
  5. Step 5: Solve for x
    x = 17,701.51/112.15
  6. Step 6: Final answer
    x = 157.84

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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.