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Finding the Fourth Proportional to 200,767.65, 300,749.91 and 120,761.43

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Solution

The fourth proportional to 200,767.65, 300,749.91 and 120,761.43 is: 180,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,767.65 : 300,749.91 = 120,761.43 : x
  2. Step 2: Convert to fraction form
    200,767.65/300,749.91 = 120,761.43/x
  3. Step 3: Cross multiply
    200,767.65x = 300,749.91 × 120,761.43
  4. Step 4: Simplify right side
    200,767.65x = 36,318,989,203.97
  5. Step 5: Solve for x
    x = 36,318,989,203.97/200,767.65
  6. Step 6: Final answer
    x = 180,900.60

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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.