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Finding the Fourth Proportional to 138,489, 207,768.06 and 39,993

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Solution

The fourth proportional to 138,489, 207,768.06 and 39,993 is: 59,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,489 : 207,768.06 = 39,993 : x
  2. Step 2: Convert to fraction form
    138,489/207,768.06 = 39,993/x
  3. Step 3: Cross multiply
    138,489x = 207,768.06 × 39,993
  4. Step 4: Simplify right side
    138,489x = 8,309,268,023.58
  5. Step 5: Solve for x
    x = 8,309,268,023.58/138,489
  6. Step 6: Final answer
    x = 59,999.48

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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.