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Finding the Fourth Proportional to 206,077.12, 309,225.12 and 81,419.20

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Solution

The fourth proportional to 206,077.12, 309,225.12 and 81,419.20 is: 122,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,077.12 : 309,225.12 = 81,419.20 : x
  2. Step 2: Convert to fraction form
    206,077.12/309,225.12 = 81,419.20/x
  3. Step 3: Cross multiply
    206,077.12x = 309,225.12 × 81,419.20
  4. Step 4: Simplify right side
    206,077.12x = 25,176,861,890.30
  5. Step 5: Solve for x
    x = 25,176,861,890.30/206,077.12
  6. Step 6: Final answer
    x = 122,172.04

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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.