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Finding the Fourth Proportional to 111,268, 166,928.25 and 36,387.85

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Solution

The fourth proportional to 111,268, 166,928.25 and 36,387.85 is: 54,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,268 : 166,928.25 = 36,387.85 : x
  2. Step 2: Convert to fraction form
    111,268/166,928.25 = 36,387.85/x
  3. Step 3: Cross multiply
    111,268x = 166,928.25 × 36,387.85
  4. Step 4: Simplify right side
    111,268x = 6,074,160,121.76
  5. Step 5: Solve for x
    x = 6,074,160,121.76/111,268
  6. Step 6: Final answer
    x = 54,590.36

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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.