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Finding the Fourth Proportional to 143,297.58, 197,734.92 and 82,859.07

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Solution

The fourth proportional to 143,297.58, 197,734.92 and 82,859.07 is: 114,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,297.58 : 197,734.92 = 82,859.07 : x
  2. Step 2: Convert to fraction form
    143,297.58/197,734.92 = 82,859.07/x
  3. Step 3: Cross multiply
    143,297.58x = 197,734.92 × 82,859.07
  4. Step 4: Simplify right side
    143,297.58x = 16,384,131,577.72
  5. Step 5: Solve for x
    x = 16,384,131,577.72/143,297.58
  6. Step 6: Final answer
    x = 114,336.42

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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.