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Finding the Fourth Proportional to 208,839, 313,183.74 and 82,474.14

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Solution

The fourth proportional to 208,839, 313,183.74 and 82,474.14 is: 123,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,839 : 313,183.74 = 82,474.14 : x
  2. Step 2: Convert to fraction form
    208,839/313,183.74 = 82,474.14/x
  3. Step 3: Cross multiply
    208,839x = 313,183.74 × 82,474.14
  4. Step 4: Simplify right side
    208,839x = 25,829,559,618.48
  5. Step 5: Solve for x
    x = 25,829,559,618.48/208,839
  6. Step 6: Final answer
    x = 123,681.69

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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.