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Finding the Fourth Proportional to 208,959, 313,437.82 and 75,839.08

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Solution

The fourth proportional to 208,959, 313,437.82 and 75,839.08 is: 113,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,959 : 313,437.82 = 75,839.08 : x
  2. Step 2: Convert to fraction form
    208,959/313,437.82 = 75,839.08/x
  3. Step 3: Cross multiply
    208,959x = 313,437.82 × 75,839.08
  4. Step 4: Simplify right side
    208,959x = 23,770,835,906.01
  5. Step 5: Solve for x
    x = 23,770,835,906.01/208,959
  6. Step 6: Final answer
    x = 113,758.37

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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.