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Finding the Fourth Proportional to 143,294.45, 197,764.56 and 82,853.42

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Solution

The fourth proportional to 143,294.45, 197,764.56 and 82,853.42 is: 114,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,294.45 : 197,764.56 = 82,853.42 : x
  2. Step 2: Convert to fraction form
    143,294.45/197,764.56 = 82,853.42/x
  3. Step 3: Cross multiply
    143,294.45x = 197,764.56 × 82,853.42
  4. Step 4: Simplify right side
    143,294.45x = 16,385,469,288.56
  5. Step 5: Solve for x
    x = 16,385,469,288.56/143,294.45
  6. Step 6: Final answer
    x = 114,348.25

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