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Finding the Fourth Proportional to 143,299.56, 197,737.68 and 82,861.08

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Solution

The fourth proportional to 143,299.56, 197,737.68 and 82,861.08 is: 114,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,299.56 : 197,737.68 = 82,861.08 : x
  2. Step 2: Convert to fraction form
    143,299.56/197,737.68 = 82,861.08/x
  3. Step 3: Cross multiply
    143,299.56x = 197,737.68 × 82,861.08
  4. Step 4: Simplify right side
    143,299.56x = 16,384,757,721.49
  5. Step 5: Solve for x
    x = 16,384,757,721.49/143,299.56
  6. Step 6: Final answer
    x = 114,339.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.