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Finding the Fourth Proportional to 201,855.99, 302,846.27 and 75,509

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Solution

The fourth proportional to 201,855.99, 302,846.27 and 75,509 is: 113,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,855.99 : 302,846.27 = 75,509 : x
  2. Step 2: Convert to fraction form
    201,855.99/302,846.27 = 75,509/x
  3. Step 3: Cross multiply
    201,855.99x = 302,846.27 × 75,509
  4. Step 4: Simplify right side
    201,855.99x = 22,867,619,001.43
  5. Step 5: Solve for x
    x = 22,867,619,001.43/201,855.99
  6. Step 6: Final answer
    x = 113,286.80

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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.