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Finding the Fourth Proportional to 56,787.84, 85,120.56 and 27,142.62

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Solution

The fourth proportional to 56,787.84, 85,120.56 and 27,142.62 is: 40,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,787.84 : 85,120.56 = 27,142.62 : x
  2. Step 2: Convert to fraction form
    56,787.84/85,120.56 = 27,142.62/x
  3. Step 3: Cross multiply
    56,787.84x = 85,120.56 × 27,142.62
  4. Step 4: Simplify right side
    56,787.84x = 2,310,395,014.27
  5. Step 5: Solve for x
    x = 2,310,395,014.27/56,787.84
  6. Step 6: Final answer
    x = 40,684.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.