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Finding the Fourth Proportional to 137,781, 206,644.32 and 37,915.56

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Solution

The fourth proportional to 137,781, 206,644.32 and 37,915.56 is: 56,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,781 : 206,644.32 = 37,915.56 : x
  2. Step 2: Convert to fraction form
    137,781/206,644.32 = 37,915.56/x
  3. Step 3: Cross multiply
    137,781x = 206,644.32 × 37,915.56
  4. Step 4: Simplify right side
    137,781x = 7,835,035,113.62
  5. Step 5: Solve for x
    x = 7,835,035,113.62/137,781
  6. Step 6: Final answer
    x = 56,865.86

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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.