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Finding the Fourth Proportional to 208,505.92, 312,640.38 and 82,077.70

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Solution

The fourth proportional to 208,505.92, 312,640.38 and 82,077.70 is: 123,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,505.92 : 312,640.38 = 82,077.70 : x
  2. Step 2: Convert to fraction form
    208,505.92/312,640.38 = 82,077.70/x
  3. Step 3: Cross multiply
    208,505.92x = 312,640.38 × 82,077.70
  4. Step 4: Simplify right side
    208,505.92x = 25,660,801,754.32
  5. Step 5: Solve for x
    x = 25,660,801,754.32/208,505.92
  6. Step 6: Final answer
    x = 123,069.90

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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.