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Finding the Fourth Proportional to 208,889.14, 313,378.70 and 66,701

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Solution

The fourth proportional to 208,889.14, 313,378.70 and 66,701 is: 100,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,889.14 : 313,378.70 = 66,701 : x
  2. Step 2: Convert to fraction form
    208,889.14/313,378.70 = 66,701/x
  3. Step 3: Cross multiply
    208,889.14x = 313,378.70 × 66,701
  4. Step 4: Simplify right side
    208,889.14x = 20,902,672,668.70
  5. Step 5: Solve for x
    x = 20,902,672,668.70/208,889.14
  6. Step 6: Final answer
    x = 100,065.87

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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.