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Finding the Fourth Proportional to 206,493.89, 309,853.65 and 80,139.11

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Solution

The fourth proportional to 206,493.89, 309,853.65 and 80,139.11 is: 120,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,493.89 : 309,853.65 = 80,139.11 : x
  2. Step 2: Convert to fraction form
    206,493.89/309,853.65 = 80,139.11/x
  3. Step 3: Cross multiply
    206,493.89x = 309,853.65 × 80,139.11
  4. Step 4: Simplify right side
    206,493.89x = 24,831,395,741.25
  5. Step 5: Solve for x
    x = 24,831,395,741.25/206,493.89
  6. Step 6: Final answer
    x = 120,252.45

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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.