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Finding the Fourth Proportional to 206,171.88, 309,159.90 and 79,871.28

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Solution

The fourth proportional to 206,171.88, 309,159.90 and 79,871.28 is: 119,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,171.88 : 309,159.90 = 79,871.28 : x
  2. Step 2: Convert to fraction form
    206,171.88/309,159.90 = 79,871.28/x
  3. Step 3: Cross multiply
    206,171.88x = 309,159.90 × 79,871.28
  4. Step 4: Simplify right side
    206,171.88x = 24,692,996,937.67
  5. Step 5: Solve for x
    x = 24,692,996,937.67/206,171.88
  6. Step 6: Final answer
    x = 119,768.99

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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.