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Finding the Fourth Proportional to 139,844.33, 209,796.87 and 51,097.70

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Solution

The fourth proportional to 139,844.33, 209,796.87 and 51,097.70 is: 76,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,844.33 : 209,796.87 = 51,097.70 : x
  2. Step 2: Convert to fraction form
    139,844.33/209,796.87 = 51,097.70/x
  3. Step 3: Cross multiply
    139,844.33x = 209,796.87 × 51,097.70
  4. Step 4: Simplify right side
    139,844.33x = 10,720,137,524.20
  5. Step 5: Solve for x
    x = 10,720,137,524.20/139,844.33
  6. Step 6: Final answer
    x = 76,657.65

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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.