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Finding the Fourth Proportional to 137,910.60, 206,861.78 and 38,076.89

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Solution

The fourth proportional to 137,910.60, 206,861.78 and 38,076.89 is: 57,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,910.60 : 206,861.78 = 38,076.89 : x
  2. Step 2: Convert to fraction form
    137,910.60/206,861.78 = 38,076.89/x
  3. Step 3: Cross multiply
    137,910.60x = 206,861.78 × 38,076.89
  4. Step 4: Simplify right side
    137,910.60x = 7,876,652,303.15
  5. Step 5: Solve for x
    x = 7,876,652,303.15/137,910.60
  6. Step 6: Final answer
    x = 57,114.19

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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.