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Finding the Fourth Proportional to 206,200.70, 309,005.85 and 117,266.30

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Solution

The fourth proportional to 206,200.70, 309,005.85 and 117,266.30 is: 175,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,200.70 : 309,005.85 = 117,266.30 : x
  2. Step 2: Convert to fraction form
    206,200.70/309,005.85 = 117,266.30/x
  3. Step 3: Cross multiply
    206,200.70x = 309,005.85 × 117,266.30
  4. Step 4: Simplify right side
    206,200.70x = 36,235,972,707.86
  5. Step 5: Solve for x
    x = 36,235,972,707.86/206,200.70
  6. Step 6: Final answer
    x = 175,731.57

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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.