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Finding the Fourth Proportional to 81,839, 112,937.94 and 48,305

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Solution

The fourth proportional to 81,839, 112,937.94 and 48,305 is: 66,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,839 : 112,937.94 = 48,305 : x
  2. Step 2: Convert to fraction form
    81,839/112,937.94 = 48,305/x
  3. Step 3: Cross multiply
    81,839x = 112,937.94 × 48,305
  4. Step 4: Simplify right side
    81,839x = 5,455,467,191.70
  5. Step 5: Solve for x
    x = 5,455,467,191.70/81,839
  6. Step 6: Final answer
    x = 66,660.97

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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.