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Finding the Fourth Proportional to 206,643.84, 309,965.72 and 66,500.88

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Solution

The fourth proportional to 206,643.84, 309,965.72 and 66,500.88 is: 99,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,643.84 : 309,965.72 = 66,500.88 : x
  2. Step 2: Convert to fraction form
    206,643.84/309,965.72 = 66,500.88/x
  3. Step 3: Cross multiply
    206,643.84x = 309,965.72 × 66,500.88
  4. Step 4: Simplify right side
    206,643.84x = 20,612,993,149.83
  5. Step 5: Solve for x
    x = 20,612,993,149.83/206,643.84
  6. Step 6: Final answer
    x = 99,751.31

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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.