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Finding the Fourth Proportional to 139,629.41, 209,359.67 and 55,400.75

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Solution

The fourth proportional to 139,629.41, 209,359.67 and 55,400.75 is: 83,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,629.41 : 209,359.67 = 55,400.75 : x
  2. Step 2: Convert to fraction form
    139,629.41/209,359.67 = 55,400.75/x
  3. Step 3: Cross multiply
    139,629.41x = 209,359.67 × 55,400.75
  4. Step 4: Simplify right side
    139,629.41x = 11,598,682,737.75
  5. Step 5: Solve for x
    x = 11,598,682,737.75/139,629.41
  6. Step 6: Final answer
    x = 83,067.62

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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.