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Finding the Fourth Proportional to 137,954, 206,931 and 39,458

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Solution

The fourth proportional to 137,954, 206,931 and 39,458 is: 59,187

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,954 : 206,931 = 39,458 : x
  2. Step 2: Convert to fraction form
    137,954/206,931 = 39,458/x
  3. Step 3: Cross multiply
    137,954x = 206,931 × 39,458
  4. Step 4: Simplify right side
    137,954x = 8,165,083,398
  5. Step 5: Solve for x
    x = 8,165,083,398/137,954
  6. Step 6: Final answer
    x = 59,187

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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.