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Finding the Fourth Proportional to 83,361.68, 115,028.38 and 47,549.56

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Solution

The fourth proportional to 83,361.68, 115,028.38 and 47,549.56 is: 65,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,361.68 : 115,028.38 = 47,549.56 : x
  2. Step 2: Convert to fraction form
    83,361.68/115,028.38 = 47,549.56/x
  3. Step 3: Cross multiply
    83,361.68x = 115,028.38 × 47,549.56
  4. Step 4: Simplify right side
    83,361.68x = 5,469,548,856.51
  5. Step 5: Solve for x
    x = 5,469,548,856.51/83,361.68
  6. Step 6: Final answer
    x = 65,612.27

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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.