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Finding the Fourth Proportional to 200,169.28, 275,916 and 157,660.48

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Solution

The fourth proportional to 200,169.28, 275,916 and 157,660.48 is: 217,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,169.28 : 275,916 = 157,660.48 : x
  2. Step 2: Convert to fraction form
    200,169.28/275,916 = 157,660.48/x
  3. Step 3: Cross multiply
    200,169.28x = 275,916 × 157,660.48
  4. Step 4: Simplify right side
    200,169.28x = 43,501,048,999.68
  5. Step 5: Solve for x
    x = 43,501,048,999.68/200,169.28
  6. Step 6: Final answer
    x = 217,321.30

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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.