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Finding the Fourth Proportional to 209,906.82, 314,704.71 and 126,781.38

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Solution

The fourth proportional to 209,906.82, 314,704.71 and 126,781.38 is: 190,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,906.82 : 314,704.71 = 126,781.38 : x
  2. Step 2: Convert to fraction form
    209,906.82/314,704.71 = 126,781.38/x
  3. Step 3: Cross multiply
    209,906.82x = 314,704.71 × 126,781.38
  4. Step 4: Simplify right side
    209,906.82x = 39,898,697,426.30
  5. Step 5: Solve for x
    x = 39,898,697,426.30/209,906.82
  6. Step 6: Final answer
    x = 190,078.14

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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.