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Finding the Fourth Proportional to 200,701.20, 300,796.65 and 82,238.70

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Solution

The fourth proportional to 200,701.20, 300,796.65 and 82,238.70 is: 123,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,701.20 : 300,796.65 = 82,238.70 : x
  2. Step 2: Convert to fraction form
    200,701.20/300,796.65 = 82,238.70/x
  3. Step 3: Cross multiply
    200,701.20x = 300,796.65 × 82,238.70
  4. Step 4: Simplify right side
    200,701.20x = 24,737,125,460.36
  5. Step 5: Solve for x
    x = 24,737,125,460.36/200,701.20
  6. Step 6: Final answer
    x = 123,253.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.