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Finding the Fourth Proportional to 200,099.30, 300,039.60 and 81,636.80

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Solution

The fourth proportional to 200,099.30, 300,039.60 and 81,636.80 is: 122,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,099.30 : 300,039.60 = 81,636.80 : x
  2. Step 2: Convert to fraction form
    200,099.30/300,039.60 = 81,636.80/x
  3. Step 3: Cross multiply
    200,099.30x = 300,039.60 × 81,636.80
  4. Step 4: Simplify right side
    200,099.30x = 24,494,272,817.28
  5. Step 5: Solve for x
    x = 24,494,272,817.28/200,099.30
  6. Step 6: Final answer
    x = 122,410.59

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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.