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Finding the Fourth Proportional to 137,857.74, 206,787.70 and 75,494.22

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Solution

The fourth proportional to 137,857.74, 206,787.70 and 75,494.22 is: 113,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,857.74 : 206,787.70 = 75,494.22 : x
  2. Step 2: Convert to fraction form
    137,857.74/206,787.70 = 75,494.22/x
  3. Step 3: Cross multiply
    137,857.74x = 206,787.70 × 75,494.22
  4. Step 4: Simplify right side
    137,857.74x = 15,611,276,117.09
  5. Step 5: Solve for x
    x = 15,611,276,117.09/137,857.74
  6. Step 6: Final answer
    x = 113,241.93

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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.