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Finding the Fourth Proportional to 201,858.99, 302,850.77 and 75,512

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Solution

The fourth proportional to 201,858.99, 302,850.77 and 75,512 is: 113,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,858.99 : 302,850.77 = 75,512 : x
  2. Step 2: Convert to fraction form
    201,858.99/302,850.77 = 75,512/x
  3. Step 3: Cross multiply
    201,858.99x = 302,850.77 × 75,512
  4. Step 4: Simplify right side
    201,858.99x = 22,868,867,344.24
  5. Step 5: Solve for x
    x = 22,868,867,344.24/201,858.99
  6. Step 6: Final answer
    x = 113,291.30

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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.