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Finding the Fourth Proportional to 112.78, 168.32 and 105.07

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Solution

The fourth proportional to 112.78, 168.32 and 105.07 is: 156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.78 : 168.32 = 105.07 : x
  2. Step 2: Convert to fraction form
    112.78/168.32 = 105.07/x
  3. Step 3: Cross multiply
    112.78x = 168.32 × 105.07
  4. Step 4: Simplify right side
    112.78x = 17,685.38
  5. Step 5: Solve for x
    x = 17,685.38/112.78
  6. Step 6: Final answer
    x = 156.81

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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.