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Finding the Fourth Proportional to 208,857, 313,285.02 and 75,736.98

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Solution

The fourth proportional to 208,857, 313,285.02 and 75,736.98 is: 113,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,857 : 313,285.02 = 75,736.98 : x
  2. Step 2: Convert to fraction form
    208,857/313,285.02 = 75,736.98/x
  3. Step 3: Cross multiply
    208,857x = 313,285.02 × 75,736.98
  4. Step 4: Simplify right side
    208,857x = 23,727,261,294.04
  5. Step 5: Solve for x
    x = 23,727,261,294.04/208,857
  6. Step 6: Final answer
    x = 113,605.30

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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.