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Finding the Fourth Proportional to 75,857.60, 104,689.43 and 41,872.84

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Solution

The fourth proportional to 75,857.60, 104,689.43 and 41,872.84 is: 57,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,857.60 : 104,689.43 = 41,872.84 : x
  2. Step 2: Convert to fraction form
    75,857.60/104,689.43 = 41,872.84/x
  3. Step 3: Cross multiply
    75,857.60x = 104,689.43 × 41,872.84
  4. Step 4: Simplify right side
    75,857.60x = 4,383,643,438.02
  5. Step 5: Solve for x
    x = 4,383,643,438.02/75,857.60
  6. Step 6: Final answer
    x = 57,787.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.