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Finding the Fourth Proportional to 143,646.87, 198,202.50 and 83,213.91

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Solution

The fourth proportional to 143,646.87, 198,202.50 and 83,213.91 is: 114,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,646.87 : 198,202.50 = 83,213.91 : x
  2. Step 2: Convert to fraction form
    143,646.87/198,202.50 = 83,213.91/x
  3. Step 3: Cross multiply
    143,646.87x = 198,202.50 × 83,213.91
  4. Step 4: Simplify right side
    143,646.87x = 16,493,204,996.78
  5. Step 5: Solve for x
    x = 16,493,204,996.78/143,646.87
  6. Step 6: Final answer
    x = 114,817.71

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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.