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Finding the Fourth Proportional to 204,714, 307,028.64 and 54,918.78

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Solution

The fourth proportional to 204,714, 307,028.64 and 54,918.78 is: 82,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,714 : 307,028.64 = 54,918.78 : x
  2. Step 2: Convert to fraction form
    204,714/307,028.64 = 54,918.78/x
  3. Step 3: Cross multiply
    204,714x = 307,028.64 × 54,918.78
  4. Step 4: Simplify right side
    204,714x = 16,861,638,333.86
  5. Step 5: Solve for x
    x = 16,861,638,333.86/204,714
  6. Step 6: Final answer
    x = 82,366.81

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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.