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Finding the Fourth Proportional to 81,667, 112,709.10 and 51,859

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Solution

The fourth proportional to 81,667, 112,709.10 and 51,859 is: 71,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,667 : 112,709.10 = 51,859 : x
  2. Step 2: Convert to fraction form
    81,667/112,709.10 = 51,859/x
  3. Step 3: Cross multiply
    81,667x = 112,709.10 × 51,859
  4. Step 4: Simplify right side
    81,667x = 5,844,981,216.90
  5. Step 5: Solve for x
    x = 5,844,981,216.90/81,667
  6. Step 6: Final answer
    x = 71,570.91

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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.