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Finding the Fourth Proportional to 198,206.38, 273,435.51 and 117,637.30

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Solution

The fourth proportional to 198,206.38, 273,435.51 and 117,637.30 is: 162,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,206.38 : 273,435.51 = 117,637.30 : x
  2. Step 2: Convert to fraction form
    198,206.38/273,435.51 = 117,637.30/x
  3. Step 3: Cross multiply
    198,206.38x = 273,435.51 × 117,637.30
  4. Step 4: Simplify right side
    198,206.38x = 32,166,215,120.52
  5. Step 5: Solve for x
    x = 32,166,215,120.52/198,206.38
  6. Step 6: Final answer
    x = 162,286.48

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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.