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Finding the Fourth Proportional to 272,143.68, 408,216.46 and 82,605.65

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Solution

The fourth proportional to 272,143.68, 408,216.46 and 82,605.65 is: 123,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,143.68 : 408,216.46 = 82,605.65 : x
  2. Step 2: Convert to fraction form
    272,143.68/408,216.46 = 82,605.65/x
  3. Step 3: Cross multiply
    272,143.68x = 408,216.46 × 82,605.65
  4. Step 4: Simplify right side
    272,143.68x = 33,720,983,977.92
  5. Step 5: Solve for x
    x = 33,720,983,977.92/272,143.68
  6. Step 6: Final answer
    x = 123,908.76

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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.