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Finding the Fourth Proportional to 200,082.05, 300,123.08 and 81,753.29

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Solution

The fourth proportional to 200,082.05, 300,123.08 and 81,753.29 is: 122,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082.05 : 300,123.08 = 81,753.29 : x
  2. Step 2: Convert to fraction form
    200,082.05/300,123.08 = 81,753.29/x
  3. Step 3: Cross multiply
    200,082.05x = 300,123.08 × 81,753.29
  4. Step 4: Simplify right side
    200,082.05x = 24,536,047,898.70
  5. Step 5: Solve for x
    x = 24,536,047,898.70/200,082.05
  6. Step 6: Final answer
    x = 122,629.93

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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.