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Finding the Fourth Proportional to 199,711, 275,603.39 and 109,069.64

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Solution

The fourth proportional to 199,711, 275,603.39 and 109,069.64 is: 150,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,711 : 275,603.39 = 109,069.64 : x
  2. Step 2: Convert to fraction form
    199,711/275,603.39 = 109,069.64/x
  3. Step 3: Cross multiply
    199,711x = 275,603.39 × 109,069.64
  4. Step 4: Simplify right side
    199,711x = 30,059,962,530.08
  5. Step 5: Solve for x
    x = 30,059,962,530.08/199,711
  6. Step 6: Final answer
    x = 150,517.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.