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Finding the Fourth Proportional to 200,765.71, 300,747.03 and 120,759.49

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Solution

The fourth proportional to 200,765.71, 300,747.03 and 120,759.49 is: 180,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,765.71 : 300,747.03 = 120,759.49 : x
  2. Step 2: Convert to fraction form
    200,765.71/300,747.03 = 120,759.49/x
  3. Step 3: Cross multiply
    200,765.71x = 300,747.03 × 120,759.49
  4. Step 4: Simplify right side
    200,765.71x = 36,318,057,961.81
  5. Step 5: Solve for x
    x = 36,318,057,961.81/200,765.71
  6. Step 6: Final answer
    x = 180,897.71

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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.