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Finding the Fourth Proportional to 137,857.76, 206,787.72 and 75,494.24

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Solution

The fourth proportional to 137,857.76, 206,787.72 and 75,494.24 is: 113,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,857.76 : 206,787.72 = 75,494.24 : x
  2. Step 2: Convert to fraction form
    137,857.76/206,787.72 = 75,494.24/x
  3. Step 3: Cross multiply
    137,857.76x = 206,787.72 × 75,494.24
  4. Step 4: Simplify right side
    137,857.76x = 15,611,281,762.73
  5. Step 5: Solve for x
    x = 15,611,281,762.73/137,857.76
  6. Step 6: Final answer
    x = 113,241.95

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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.