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Finding the Fourth Proportional to 137,634, 206,485.68 and 39,138

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Solution

The fourth proportional to 137,634, 206,485.68 and 39,138 is: 58,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,634 : 206,485.68 = 39,138 : x
  2. Step 2: Convert to fraction form
    137,634/206,485.68 = 39,138/x
  3. Step 3: Cross multiply
    137,634x = 206,485.68 × 39,138
  4. Step 4: Simplify right side
    137,634x = 8,081,436,543.84
  5. Step 5: Solve for x
    x = 8,081,436,543.84/137,634
  6. Step 6: Final answer
    x = 58,716.86

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