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Finding the Fourth Proportional to 200,771.46, 300,755.66 and 120,765.24

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Solution

The fourth proportional to 200,771.46, 300,755.66 and 120,765.24 is: 180,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,771.46 : 300,755.66 = 120,765.24 : x
  2. Step 2: Convert to fraction form
    200,771.46/300,755.66 = 120,765.24/x
  3. Step 3: Cross multiply
    200,771.46x = 300,755.66 × 120,765.24
  4. Step 4: Simplify right side
    200,771.46x = 36,320,828,857.43
  5. Step 5: Solve for x
    x = 36,320,828,857.43/200,771.46
  6. Step 6: Final answer
    x = 180,906.33

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1.5x scale

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.