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Finding the Fourth Proportional to 206,605.84, 309,907.32 and 136,797.52

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Solution

The fourth proportional to 206,605.84, 309,907.32 and 136,797.52 is: 205,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,605.84 : 309,907.32 = 136,797.52 : x
  2. Step 2: Convert to fraction form
    206,605.84/309,907.32 = 136,797.52/x
  3. Step 3: Cross multiply
    206,605.84x = 309,907.32 × 136,797.52
  4. Step 4: Simplify right side
    206,605.84x = 42,394,552,805.85
  5. Step 5: Solve for x
    x = 42,394,552,805.85/206,605.84
  6. Step 6: Final answer
    x = 205,195.33

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1.5x scale

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.