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Finding the Fourth Proportional to 208,968.73, 313,453.10 and 84,222.25

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Solution

The fourth proportional to 208,968.73, 313,453.10 and 84,222.25 is: 126,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,968.73 : 313,453.10 = 84,222.25 : x
  2. Step 2: Convert to fraction form
    208,968.73/313,453.10 = 84,222.25/x
  3. Step 3: Cross multiply
    208,968.73x = 313,453.10 × 84,222.25
  4. Step 4: Simplify right side
    208,968.73x = 26,399,725,351.48
  5. Step 5: Solve for x
    x = 26,399,725,351.48/208,968.73
  6. Step 6: Final answer
    x = 126,333.38

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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.