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Finding the Fourth Proportional to 209,771.73, 314,446.91 and 67,512.46

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Solution

The fourth proportional to 209,771.73, 314,446.91 and 67,512.46 is: 101,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,771.73 : 314,446.91 = 67,512.46 : x
  2. Step 2: Convert to fraction form
    209,771.73/314,446.91 = 67,512.46/x
  3. Step 3: Cross multiply
    209,771.73x = 314,446.91 × 67,512.46
  4. Step 4: Simplify right side
    209,771.73x = 21,229,084,433.50
  5. Step 5: Solve for x
    x = 21,229,084,433.50/209,771.73
  6. Step 6: Final answer
    x = 101,200.89

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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.