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Finding the Fourth Proportional to 204,090.70, 306,136.05 and 119,891.20

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Solution

The fourth proportional to 204,090.70, 306,136.05 and 119,891.20 is: 179,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,090.70 : 306,136.05 = 119,891.20 : x
  2. Step 2: Convert to fraction form
    204,090.70/306,136.05 = 119,891.20/x
  3. Step 3: Cross multiply
    204,090.70x = 306,136.05 × 119,891.20
  4. Step 4: Simplify right side
    204,090.70x = 36,703,018,397.76
  5. Step 5: Solve for x
    x = 36,703,018,397.76/204,090.70
  6. Step 6: Final answer
    x = 179,836.80

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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.