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Finding the Fourth Proportional to 213,662.46, 320,231.24 and 119,971.38

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Solution

The fourth proportional to 213,662.46, 320,231.24 and 119,971.38 is: 179,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,662.46 : 320,231.24 = 119,971.38 : x
  2. Step 2: Convert to fraction form
    213,662.46/320,231.24 = 119,971.38/x
  3. Step 3: Cross multiply
    213,662.46x = 320,231.24 × 119,971.38
  4. Step 4: Simplify right side
    213,662.46x = 38,418,583,781.91
  5. Step 5: Solve for x
    x = 38,418,583,781.91/213,662.46
  6. Step 6: Final answer
    x = 179,809.70

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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.