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Finding the Fourth Proportional to 206,689.08, 309,972 and 80,348.94

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Solution

The fourth proportional to 206,689.08, 309,972 and 80,348.94 is: 120,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,689.08 : 309,972 = 80,348.94 : x
  2. Step 2: Convert to fraction form
    206,689.08/309,972 = 80,348.94/x
  3. Step 3: Cross multiply
    206,689.08x = 309,972 × 80,348.94
  4. Step 4: Simplify right side
    206,689.08x = 24,905,921,629.68
  5. Step 5: Solve for x
    x = 24,905,921,629.68/206,689.08
  6. Step 6: Final answer
    x = 120,499.46

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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.