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Finding the Fourth Proportional to 200,703.18, 300,997.26 and 80,760

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Solution

The fourth proportional to 200,703.18, 300,997.26 and 80,760 is: 121,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,703.18 : 300,997.26 = 80,760 : x
  2. Step 2: Convert to fraction form
    200,703.18/300,997.26 = 80,760/x
  3. Step 3: Cross multiply
    200,703.18x = 300,997.26 × 80,760
  4. Step 4: Simplify right side
    200,703.18x = 24,308,538,717.60
  5. Step 5: Solve for x
    x = 24,308,538,717.60/200,703.18
  6. Step 6: Final answer
    x = 121,116.86

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Why These Related Problems?

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