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Finding the Fourth Proportional to 112.64, 168.62 and 92.14

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Solution

The fourth proportional to 112.64, 168.62 and 92.14 is: 137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.64 : 168.62 = 92.14 : x
  2. Step 2: Convert to fraction form
    112.64/168.62 = 92.14/x
  3. Step 3: Cross multiply
    112.64x = 168.62 × 92.14
  4. Step 4: Simplify right side
    112.64x = 15,535.76
  5. Step 5: Solve for x
    x = 15,535.76/112.64
  6. Step 6: Final answer
    x = 137.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.