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Finding the Fourth Proportional to 143,294.87, 197,731.22 and 82,856.37

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Solution

The fourth proportional to 143,294.87, 197,731.22 and 82,856.37 is: 114,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,294.87 : 197,731.22 = 82,856.37 : x
  2. Step 2: Convert to fraction form
    143,294.87/197,731.22 = 82,856.37/x
  3. Step 3: Cross multiply
    143,294.87x = 197,731.22 × 82,856.37
  4. Step 4: Simplify right side
    143,294.87x = 16,383,290,710.59
  5. Step 5: Solve for x
    x = 16,383,290,710.59/143,294.87
  6. Step 6: Final answer
    x = 114,332.71

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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.