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Finding the Fourth Proportional to 143,414.58, 197,879.49 and 82,983.72

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Solution

The fourth proportional to 143,414.58, 197,879.49 and 82,983.72 is: 114,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,414.58 : 197,879.49 = 82,983.72 : x
  2. Step 2: Convert to fraction form
    143,414.58/197,879.49 = 82,983.72/x
  3. Step 3: Cross multiply
    143,414.58x = 197,879.49 × 82,983.72
  4. Step 4: Simplify right side
    143,414.58x = 16,420,776,191.90
  5. Step 5: Solve for x
    x = 16,420,776,191.90/143,414.58
  6. Step 6: Final answer
    x = 114,498.65

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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.