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Finding the Fourth Proportional to 81,083.76, 111,906.80 and 45,276.09

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Solution

The fourth proportional to 81,083.76, 111,906.80 and 45,276.09 is: 62,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,083.76 : 111,906.80 = 45,276.09 : x
  2. Step 2: Convert to fraction form
    81,083.76/111,906.80 = 45,276.09/x
  3. Step 3: Cross multiply
    81,083.76x = 111,906.80 × 45,276.09
  4. Step 4: Simplify right side
    81,083.76x = 5,066,702,348.41
  5. Step 5: Solve for x
    x = 5,066,702,348.41/81,083.76
  6. Step 6: Final answer
    x = 62,487.26

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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.