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Finding the Fourth Proportional to 213,687.56, 319,949.60 and 150,412.79

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Solution

The fourth proportional to 213,687.56, 319,949.60 and 150,412.79 is: 225,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,687.56 : 319,949.60 = 150,412.79 : x
  2. Step 2: Convert to fraction form
    213,687.56/319,949.60 = 150,412.79/x
  3. Step 3: Cross multiply
    213,687.56x = 319,949.60 × 150,412.79
  4. Step 4: Simplify right side
    213,687.56x = 48,124,513,171.29
  5. Step 5: Solve for x
    x = 48,124,513,171.29/213,687.56
  6. Step 6: Final answer
    x = 225,209.71

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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.