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Finding the Fourth Proportional to 201,857.99, 302,849.27 and 75,511

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Solution

The fourth proportional to 201,857.99, 302,849.27 and 75,511 is: 113,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,857.99 : 302,849.27 = 75,511 : x
  2. Step 2: Convert to fraction form
    201,857.99/302,849.27 = 75,511/x
  3. Step 3: Cross multiply
    201,857.99x = 302,849.27 × 75,511
  4. Step 4: Simplify right side
    201,857.99x = 22,868,451,226.97
  5. Step 5: Solve for x
    x = 22,868,451,226.97/201,857.99
  6. Step 6: Final answer
    x = 113,289.80

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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.