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Finding the Fourth Proportional to 206,645.84, 309,968.72 and 66,502.88

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Solution

The fourth proportional to 206,645.84, 309,968.72 and 66,502.88 is: 99,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,645.84 : 309,968.72 = 66,502.88 : x
  2. Step 2: Convert to fraction form
    206,645.84/309,968.72 = 66,502.88/x
  3. Step 3: Cross multiply
    206,645.84x = 309,968.72 × 66,502.88
  4. Step 4: Simplify right side
    206,645.84x = 20,613,812,589.91
  5. Step 5: Solve for x
    x = 20,613,812,589.91/206,645.84
  6. Step 6: Final answer
    x = 99,754.31

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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.