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Finding the Fourth Proportional to 139,425.52, 209,224.16 and 55,171.48

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Solution

The fourth proportional to 139,425.52, 209,224.16 and 55,171.48 is: 82,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,425.52 : 209,224.16 = 55,171.48 : x
  2. Step 2: Convert to fraction form
    139,425.52/209,224.16 = 55,171.48/x
  3. Step 3: Cross multiply
    139,425.52x = 209,224.16 × 55,171.48
  4. Step 4: Simplify right side
    139,425.52x = 11,543,206,558.96
  5. Step 5: Solve for x
    x = 11,543,206,558.96/139,425.52
  6. Step 6: Final answer
    x = 82,791.20

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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.