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Finding the Fourth Proportional to 204,902.81, 307,354.21 and 55,143.43

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Solution

The fourth proportional to 204,902.81, 307,354.21 and 55,143.43 is: 82,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,902.81 : 307,354.21 = 55,143.43 : x
  2. Step 2: Convert to fraction form
    204,902.81/307,354.21 = 55,143.43/x
  3. Step 3: Cross multiply
    204,902.81x = 307,354.21 × 55,143.43
  4. Step 4: Simplify right side
    204,902.81x = 16,948,563,827.57
  5. Step 5: Solve for x
    x = 16,948,563,827.57/204,902.81
  6. Step 6: Final answer
    x = 82,715.14

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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.