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Finding the Fourth Proportional to 201,131.62, 301,697.12 and 51,371.87

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Solution

The fourth proportional to 201,131.62, 301,697.12 and 51,371.87 is: 77,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,131.62 : 301,697.12 = 51,371.87 : x
  2. Step 2: Convert to fraction form
    201,131.62/301,697.12 = 51,371.87/x
  3. Step 3: Cross multiply
    201,131.62x = 301,697.12 × 51,371.87
  4. Step 4: Simplify right side
    201,131.62x = 15,498,745,228.01
  5. Step 5: Solve for x
    x = 15,498,745,228.01/201,131.62
  6. Step 6: Final answer
    x = 77,057.73

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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.