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Finding the Fourth Proportional to 206,745.28, 284,932.52 and 161,399.68

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Solution

The fourth proportional to 206,745.28, 284,932.52 and 161,399.68 is: 222,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,745.28 : 284,932.52 = 161,399.68 : x
  2. Step 2: Convert to fraction form
    206,745.28/284,932.52 = 161,399.68/x
  3. Step 3: Cross multiply
    206,745.28x = 284,932.52 × 161,399.68
  4. Step 4: Simplify right side
    206,745.28x = 45,988,017,549.59
  5. Step 5: Solve for x
    x = 45,988,017,549.59/206,745.28
  6. Step 6: Final answer
    x = 222,438.05

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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.