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Finding the Fourth Proportional to 200,766.65, 300,748.41 and 120,760.43

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Solution

The fourth proportional to 200,766.65, 300,748.41 and 120,760.43 is: 180,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,766.65 : 300,748.41 = 120,760.43 : x
  2. Step 2: Convert to fraction form
    200,766.65/300,748.41 = 120,760.43/x
  3. Step 3: Cross multiply
    200,766.65x = 300,748.41 × 120,760.43
  4. Step 4: Simplify right side
    200,766.65x = 36,318,505,809.67
  5. Step 5: Solve for x
    x = 36,318,505,809.67/200,766.65
  6. Step 6: Final answer
    x = 180,899.10

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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.