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Finding the Fourth Proportional to 201,940.73, 278,667.37 and 111,278.64

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Solution

The fourth proportional to 201,940.73, 278,667.37 and 111,278.64 is: 153,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,940.73 : 278,667.37 = 111,278.64 : x
  2. Step 2: Convert to fraction form
    201,940.73/278,667.37 = 111,278.64/x
  3. Step 3: Cross multiply
    201,940.73x = 278,667.37 × 111,278.64
  4. Step 4: Simplify right side
    201,940.73x = 31,009,725,945.98
  5. Step 5: Solve for x
    x = 31,009,725,945.98/201,940.73
  6. Step 6: Final answer
    x = 153,558.55

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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.