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Finding the Fourth Proportional to 83,532.54, 115,163.38 and 66,361.87

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Solution

The fourth proportional to 83,532.54, 115,163.38 and 66,361.87 is: 91,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,532.54 : 115,163.38 = 66,361.87 : x
  2. Step 2: Convert to fraction form
    83,532.54/115,163.38 = 66,361.87/x
  3. Step 3: Cross multiply
    83,532.54x = 115,163.38 × 66,361.87
  4. Step 4: Simplify right side
    83,532.54x = 7,642,457,252.32
  5. Step 5: Solve for x
    x = 7,642,457,252.32/83,532.54
  6. Step 6: Final answer
    x = 91,490.78

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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.