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Finding the Fourth Proportional to 209,165.70, 313,748.55 and 68,906.10

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Solution

The fourth proportional to 209,165.70, 313,748.55 and 68,906.10 is: 103,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,165.70 : 313,748.55 = 68,906.10 : x
  2. Step 2: Convert to fraction form
    209,165.70/313,748.55 = 68,906.10/x
  3. Step 3: Cross multiply
    209,165.70x = 313,748.55 × 68,906.10
  4. Step 4: Simplify right side
    209,165.70x = 21,619,188,961.16
  5. Step 5: Solve for x
    x = 21,619,188,961.16/209,165.70
  6. Step 6: Final answer
    x = 103,359.15

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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.