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Finding the Fourth Proportional to 139,029.87, 208,512.81 and 82,885.80

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Solution

The fourth proportional to 139,029.87, 208,512.81 and 82,885.80 is: 124,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,029.87 : 208,512.81 = 82,885.80 : x
  2. Step 2: Convert to fraction form
    139,029.87/208,512.81 = 82,885.80/x
  3. Step 3: Cross multiply
    139,029.87x = 208,512.81 × 82,885.80
  4. Step 4: Simplify right side
    139,029.87x = 17,282,751,067.10
  5. Step 5: Solve for x
    x = 17,282,751,067.10/139,029.87
  6. Step 6: Final answer
    x = 124,309.63

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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.