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Finding the Fourth Proportional to 84,920.82, 117,198.09 and 47,197.50

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Solution

The fourth proportional to 84,920.82, 117,198.09 and 47,197.50 is: 65,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,920.82 : 117,198.09 = 47,197.50 : x
  2. Step 2: Convert to fraction form
    84,920.82/117,198.09 = 47,197.50/x
  3. Step 3: Cross multiply
    84,920.82x = 117,198.09 × 47,197.50
  4. Step 4: Simplify right side
    84,920.82x = 5,531,456,852.78
  5. Step 5: Solve for x
    x = 5,531,456,852.78/84,920.82
  6. Step 6: Final answer
    x = 65,136.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.