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Finding the Fourth Proportional to 209,195.66, 313,790.73 and 51,425.48

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Solution

The fourth proportional to 209,195.66, 313,790.73 and 51,425.48 is: 77,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,195.66 : 313,790.73 = 51,425.48 : x
  2. Step 2: Convert to fraction form
    209,195.66/313,790.73 = 51,425.48/x
  3. Step 3: Cross multiply
    209,195.66x = 313,790.73 × 51,425.48
  4. Step 4: Simplify right side
    209,195.66x = 16,136,839,501.43
  5. Step 5: Solve for x
    x = 16,136,839,501.43/209,195.66
  6. Step 6: Final answer
    x = 77,137.54

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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.