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Finding the Fourth Proportional to 201,928.16, 278,662.76 and 111,287.44

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Solution

The fourth proportional to 201,928.16, 278,662.76 and 111,287.44 is: 153,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,928.16 : 278,662.76 = 111,287.44 : x
  2. Step 2: Convert to fraction form
    201,928.16/278,662.76 = 111,287.44/x
  3. Step 3: Cross multiply
    201,928.16x = 278,662.76 × 111,287.44
  4. Step 4: Simplify right side
    201,928.16x = 31,011,665,183.73
  5. Step 5: Solve for x
    x = 31,011,665,183.73/201,928.16
  6. Step 6: Final answer
    x = 153,577.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.