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Finding the Fourth Proportional to 83,656.73, 115,467.59 and 47,857.97

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Solution

The fourth proportional to 83,656.73, 115,467.59 and 47,857.97 is: 66,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,656.73 : 115,467.59 = 47,857.97 : x
  2. Step 2: Convert to fraction form
    83,656.73/115,467.59 = 47,857.97/x
  3. Step 3: Cross multiply
    83,656.73x = 115,467.59 × 47,857.97
  4. Step 4: Simplify right side
    83,656.73x = 5,526,043,641.56
  5. Step 5: Solve for x
    x = 5,526,043,641.56/83,656.73
  6. Step 6: Final answer
    x = 66,056.18

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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.