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Finding the Fourth Proportional to 139,292, 209,021.02 and 50,552.44

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Solution

The fourth proportional to 139,292, 209,021.02 and 50,552.44 is: 75,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,292 : 209,021.02 = 50,552.44 : x
  2. Step 2: Convert to fraction form
    139,292/209,021.02 = 50,552.44/x
  3. Step 3: Cross multiply
    139,292x = 209,021.02 × 50,552.44
  4. Step 4: Simplify right side
    139,292x = 10,566,522,572.29
  5. Step 5: Solve for x
    x = 10,566,522,572.29/139,292
  6. Step 6: Final answer
    x = 75,858.79

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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.