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Finding the Fourth Proportional to 219,919.73, 329,906.75 and 77,735.68

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Solution

The fourth proportional to 219,919.73, 329,906.75 and 77,735.68 is: 116,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,919.73 : 329,906.75 = 77,735.68 : x
  2. Step 2: Convert to fraction form
    219,919.73/329,906.75 = 77,735.68/x
  3. Step 3: Cross multiply
    219,919.73x = 329,906.75 × 77,735.68
  4. Step 4: Simplify right side
    219,919.73x = 25,645,524,334.39
  5. Step 5: Solve for x
    x = 25,645,524,334.39/219,919.73
  6. Step 6: Final answer
    x = 116,613.12

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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.