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Finding the Fourth Proportional to 137,508, 206,262 and 39,012

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Solution

The fourth proportional to 137,508, 206,262 and 39,012 is: 58,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,508 : 206,262 = 39,012 : x
  2. Step 2: Convert to fraction form
    137,508/206,262 = 39,012/x
  3. Step 3: Cross multiply
    137,508x = 206,262 × 39,012
  4. Step 4: Simplify right side
    137,508x = 8,046,693,144
  5. Step 5: Solve for x
    x = 8,046,693,144/137,508
  6. Step 6: Final answer
    x = 58,518

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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.