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Finding the Fourth Proportional to 143,195.54, 197,565.39 and 82,744.16

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Solution

The fourth proportional to 143,195.54, 197,565.39 and 82,744.16 is: 114,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,195.54 : 197,565.39 = 82,744.16 : x
  2. Step 2: Convert to fraction form
    143,195.54/197,565.39 = 82,744.16/x
  3. Step 3: Cross multiply
    143,195.54x = 197,565.39 × 82,744.16
  4. Step 4: Simplify right side
    143,195.54x = 16,347,381,252.80
  5. Step 5: Solve for x
    x = 16,347,381,252.80/143,195.54
  6. Step 6: Final answer
    x = 114,161.25

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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.