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Finding the Fourth Proportional to 206,518.55, 309,781.23 and 56,757.91

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Solution

The fourth proportional to 206,518.55, 309,781.23 and 56,757.91 is: 85,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,518.55 : 309,781.23 = 56,757.91 : x
  2. Step 2: Convert to fraction form
    206,518.55/309,781.23 = 56,757.91/x
  3. Step 3: Cross multiply
    206,518.55x = 309,781.23 × 56,757.91
  4. Step 4: Simplify right side
    206,518.55x = 17,582,535,172.03
  5. Step 5: Solve for x
    x = 17,582,535,172.03/206,518.55
  6. Step 6: Final answer
    x = 85,137.80

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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.