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Finding the Fourth Proportional to 81,665, 112,706.34 and 51,857

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Solution

The fourth proportional to 81,665, 112,706.34 and 51,857 is: 71,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,665 : 112,706.34 = 51,857 : x
  2. Step 2: Convert to fraction form
    81,665/112,706.34 = 51,857/x
  3. Step 3: Cross multiply
    81,665x = 112,706.34 × 51,857
  4. Step 4: Simplify right side
    81,665x = 5,844,612,673.38
  5. Step 5: Solve for x
    x = 5,844,612,673.38/81,665
  6. Step 6: Final answer
    x = 71,568.15

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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.