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Finding the Fourth Proportional to 206,274.79, 309,418.67 and 64,120.80

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Solution

The fourth proportional to 206,274.79, 309,418.67 and 64,120.80 is: 96,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,274.79 : 309,418.67 = 64,120.80 : x
  2. Step 2: Convert to fraction form
    206,274.79/309,418.67 = 64,120.80/x
  3. Step 3: Cross multiply
    206,274.79x = 309,418.67 × 64,120.80
  4. Step 4: Simplify right side
    206,274.79x = 19,840,172,655.34
  5. Step 5: Solve for x
    x = 19,840,172,655.34/206,274.79
  6. Step 6: Final answer
    x = 96,183.22

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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.