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Finding the Fourth Proportional to 206,096.40, 309,136.50 and 72,971.28

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Solution

The fourth proportional to 206,096.40, 309,136.50 and 72,971.28 is: 109,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,096.40 : 309,136.50 = 72,971.28 : x
  2. Step 2: Convert to fraction form
    206,096.40/309,136.50 = 72,971.28/x
  3. Step 3: Cross multiply
    206,096.40x = 309,136.50 × 72,971.28
  4. Step 4: Simplify right side
    206,096.40x = 22,558,086,099.72
  5. Step 5: Solve for x
    x = 22,558,086,099.72/206,096.40
  6. Step 6: Final answer
    x = 109,454.05

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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.