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Finding the Fourth Proportional to 208,669.53, 312,793.98 and 82,260.86

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Solution

The fourth proportional to 208,669.53, 312,793.98 and 82,260.86 is: 123,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,669.53 : 312,793.98 = 82,260.86 : x
  2. Step 2: Convert to fraction form
    208,669.53/312,793.98 = 82,260.86/x
  3. Step 3: Cross multiply
    208,669.53x = 312,793.98 × 82,260.86
  4. Step 4: Simplify right side
    208,669.53x = 25,730,700,233.65
  5. Step 5: Solve for x
    x = 25,730,700,233.65/208,669.53
  6. Step 6: Final answer
    x = 123,308.37

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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.