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Finding the Fourth Proportional to 219,857.37, 329,805.50 and 119,974.65

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Solution

The fourth proportional to 219,857.37, 329,805.50 and 119,974.65 is: 179,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,857.37 : 329,805.50 = 119,974.65 : x
  2. Step 2: Convert to fraction form
    219,857.37/329,805.50 = 119,974.65/x
  3. Step 3: Cross multiply
    219,857.37x = 329,805.50 × 119,974.65
  4. Step 4: Simplify right side
    219,857.37x = 39,568,298,830.70
  5. Step 5: Solve for x
    x = 39,568,298,830.70/219,857.37
  6. Step 6: Final answer
    x = 179,972.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.