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Finding the Fourth Proportional to 200,090.82, 300,136.23 and 75,402.66

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Solution

The fourth proportional to 200,090.82, 300,136.23 and 75,402.66 is: 113,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,090.82 : 300,136.23 = 75,402.66 : x
  2. Step 2: Convert to fraction form
    200,090.82/300,136.23 = 75,402.66/x
  3. Step 3: Cross multiply
    200,090.82x = 300,136.23 × 75,402.66
  4. Step 4: Simplify right side
    200,090.82x = 22,631,070,104.37
  5. Step 5: Solve for x
    x = 22,631,070,104.37/200,090.82
  6. Step 6: Final answer
    x = 113,103.99

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1.5x scale

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.