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Finding the Fourth Proportional to 209,491.76, 314,286.84 and 69,250.36

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Solution

The fourth proportional to 209,491.76, 314,286.84 and 69,250.36 is: 103,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,491.76 : 314,286.84 = 69,250.36 : x
  2. Step 2: Convert to fraction form
    209,491.76/314,286.84 = 69,250.36/x
  3. Step 3: Cross multiply
    209,491.76x = 314,286.84 × 69,250.36
  4. Step 4: Simplify right side
    209,491.76x = 21,764,476,813.26
  5. Step 5: Solve for x
    x = 21,764,476,813.26/209,491.76
  6. Step 6: Final answer
    x = 103,891.80

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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.