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Finding the Fourth Proportional to 206,515.77, 309,886.53 and 80,161.02

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Solution

The fourth proportional to 206,515.77, 309,886.53 and 80,161.02 is: 120,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,515.77 : 309,886.53 = 80,161.02 : x
  2. Step 2: Convert to fraction form
    206,515.77/309,886.53 = 80,161.02/x
  3. Step 3: Cross multiply
    206,515.77x = 309,886.53 × 80,161.02
  4. Step 4: Simplify right side
    206,515.77x = 24,840,820,329.06
  5. Step 5: Solve for x
    x = 24,840,820,329.06/206,515.77
  6. Step 6: Final answer
    x = 120,285.34

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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.