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Finding the Fourth Proportional to 112.08, 166.85 and 111.47

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Solution

The fourth proportional to 112.08, 166.85 and 111.47 is: 165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.08 : 166.85 = 111.47 : x
  2. Step 2: Convert to fraction form
    112.08/166.85 = 111.47/x
  3. Step 3: Cross multiply
    112.08x = 166.85 × 111.47
  4. Step 4: Simplify right side
    112.08x = 18,598.21
  5. Step 5: Solve for x
    x = 18,598.21/112.08
  6. Step 6: Final answer
    x = 165.94

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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.