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Finding the Fourth Proportional to 206,136.39, 309,200.17 and 56,376.68

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Solution

The fourth proportional to 206,136.39, 309,200.17 and 56,376.68 is: 84,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,136.39 : 309,200.17 = 56,376.68 : x
  2. Step 2: Convert to fraction form
    206,136.39/309,200.17 = 56,376.68/x
  3. Step 3: Cross multiply
    206,136.39x = 309,200.17 × 56,376.68
  4. Step 4: Simplify right side
    206,136.39x = 17,431,677,634.98
  5. Step 5: Solve for x
    x = 17,431,677,634.98/206,136.39
  6. Step 6: Final answer
    x = 84,563.81

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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.