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Finding the Fourth Proportional to 209,380.92, 313,918.28 and 67,145.23

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Solution

The fourth proportional to 209,380.92, 313,918.28 and 67,145.23 is: 100,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,380.92 : 313,918.28 = 67,145.23 : x
  2. Step 2: Convert to fraction form
    209,380.92/313,918.28 = 67,145.23/x
  3. Step 3: Cross multiply
    209,380.92x = 313,918.28 × 67,145.23
  4. Step 4: Simplify right side
    209,380.92x = 21,078,114,467.61
  5. Step 5: Solve for x
    x = 21,078,114,467.61/209,380.92
  6. Step 6: Final answer
    x = 100,668.75

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1.5x scale

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.