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Finding the Fourth Proportional to 206,711.20, 309,848.10 and 80,302.60

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Solution

The fourth proportional to 206,711.20, 309,848.10 and 80,302.60 is: 120,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,711.20 : 309,848.10 = 80,302.60 : x
  2. Step 2: Convert to fraction form
    206,711.20/309,848.10 = 80,302.60/x
  3. Step 3: Cross multiply
    206,711.20x = 309,848.10 × 80,302.60
  4. Step 4: Simplify right side
    206,711.20x = 24,881,608,035.06
  5. Step 5: Solve for x
    x = 24,881,608,035.06/206,711.20
  6. Step 6: Final answer
    x = 120,368.94

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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.