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Finding the Fourth Proportional to 269,741.80, 404,666.70 and 80,201.80

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Solution

The fourth proportional to 269,741.80, 404,666.70 and 80,201.80 is: 120,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,741.80 : 404,666.70 = 80,201.80 : x
  2. Step 2: Convert to fraction form
    269,741.80/404,666.70 = 80,201.80/x
  3. Step 3: Cross multiply
    269,741.80x = 404,666.70 × 80,201.80
  4. Step 4: Simplify right side
    269,741.80x = 32,454,997,740.06
  5. Step 5: Solve for x
    x = 32,454,997,740.06/269,741.80
  6. Step 6: Final answer
    x = 120,318.76

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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.