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Finding the Fourth Proportional to 200,462.24, 300,721.44 and 82,150.40

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Solution

The fourth proportional to 200,462.24, 300,721.44 and 82,150.40 is: 123,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,462.24 : 300,721.44 = 82,150.40 : x
  2. Step 2: Convert to fraction form
    200,462.24/300,721.44 = 82,150.40/x
  3. Step 3: Cross multiply
    200,462.24x = 300,721.44 × 82,150.40
  4. Step 4: Simplify right side
    200,462.24x = 24,704,386,584.58
  5. Step 5: Solve for x
    x = 24,704,386,584.58/200,462.24
  6. Step 6: Final answer
    x = 123,237.11

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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.