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Finding the Fourth Proportional to 201,668.32, 278,273.92 and 133,579.68

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Solution

The fourth proportional to 201,668.32, 278,273.92 and 133,579.68 is: 184,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,668.32 : 278,273.92 = 133,579.68 : x
  2. Step 2: Convert to fraction form
    201,668.32/278,273.92 = 133,579.68/x
  3. Step 3: Cross multiply
    201,668.32x = 278,273.92 × 133,579.68
  4. Step 4: Simplify right side
    201,668.32x = 37,171,741,185.95
  5. Step 5: Solve for x
    x = 37,171,741,185.95/201,668.32
  6. Step 6: Final answer
    x = 184,321.17

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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.