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Finding the Fourth Proportional to 81,805.44, 112,853.62 and 47,815.36

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Solution

The fourth proportional to 81,805.44, 112,853.62 and 47,815.36 is: 65,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.44 : 112,853.62 = 47,815.36 : x
  2. Step 2: Convert to fraction form
    81,805.44/112,853.62 = 47,815.36/x
  3. Step 3: Cross multiply
    81,805.44x = 112,853.62 × 47,815.36
  4. Step 4: Simplify right side
    81,805.44x = 5,396,136,668.44
  5. Step 5: Solve for x
    x = 5,396,136,668.44/81,805.44
  6. Step 6: Final answer
    x = 65,963.05

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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.