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Finding the Fourth Proportional to 143,296.98, 197,753.85 and 82,861.80

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Solution

The fourth proportional to 143,296.98, 197,753.85 and 82,861.80 is: 114,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,296.98 : 197,753.85 = 82,861.80 : x
  2. Step 2: Convert to fraction form
    143,296.98/197,753.85 = 82,861.80/x
  3. Step 3: Cross multiply
    143,296.98x = 197,753.85 × 82,861.80
  4. Step 4: Simplify right side
    143,296.98x = 16,386,239,967.93
  5. Step 5: Solve for x
    x = 16,386,239,967.93/143,296.98
  6. Step 6: Final answer
    x = 114,351.61

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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.