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Finding the Fourth Proportional to 139,825.70, 209,738.55 and 100,751.30

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Solution

The fourth proportional to 139,825.70, 209,738.55 and 100,751.30 is: 151,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,825.70 : 209,738.55 = 100,751.30 : x
  2. Step 2: Convert to fraction form
    139,825.70/209,738.55 = 100,751.30/x
  3. Step 3: Cross multiply
    139,825.70x = 209,738.55 × 100,751.30
  4. Step 4: Simplify right side
    139,825.70x = 21,131,431,572.62
  5. Step 5: Solve for x
    x = 21,131,431,572.62/139,825.70
  6. Step 6: Final answer
    x = 151,126.95

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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.