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Finding the Fourth Proportional to 206,101.06, 309,229.45 and 79,748.90

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Solution

The fourth proportional to 206,101.06, 309,229.45 and 79,748.90 is: 119,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,101.06 : 309,229.45 = 79,748.90 : x
  2. Step 2: Convert to fraction form
    206,101.06/309,229.45 = 79,748.90/x
  3. Step 3: Cross multiply
    206,101.06x = 309,229.45 × 79,748.90
  4. Step 4: Simplify right side
    206,101.06x = 24,660,709,638.61
  5. Step 5: Solve for x
    x = 24,660,709,638.61/206,101.06
  6. Step 6: Final answer
    x = 119,653.48

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1.5x scale

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.