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Finding the Fourth Proportional to 119,179.87, 164,494.43 and 82,437.78

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Solution

The fourth proportional to 119,179.87, 164,494.43 and 82,437.78 is: 113,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,179.87 : 164,494.43 = 82,437.78 : x
  2. Step 2: Convert to fraction form
    119,179.87/164,494.43 = 82,437.78/x
  3. Step 3: Cross multiply
    119,179.87x = 164,494.43 × 82,437.78
  4. Step 4: Simplify right side
    119,179.87x = 13,560,555,631.57
  5. Step 5: Solve for x
    x = 13,560,555,631.57/119,179.87
  6. Step 6: Final answer
    x = 113,782.27

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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.