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Finding the Fourth Proportional to 206,200.70, 309,153.45 and 79,732.70

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Solution

The fourth proportional to 206,200.70, 309,153.45 and 79,732.70 is: 119,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,200.70 : 309,153.45 = 79,732.70 : x
  2. Step 2: Convert to fraction form
    206,200.70/309,153.45 = 79,732.70/x
  3. Step 3: Cross multiply
    206,200.70x = 309,153.45 × 79,732.70
  4. Step 4: Simplify right side
    206,200.70x = 24,649,639,282.82
  5. Step 5: Solve for x
    x = 24,649,639,282.82/206,200.70
  6. Step 6: Final answer
    x = 119,541.98

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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.