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Finding the Fourth Proportional to 201,477, 302,213.70 and 75,112.95

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Solution

The fourth proportional to 201,477, 302,213.70 and 75,112.95 is: 112,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,477 : 302,213.70 = 75,112.95 : x
  2. Step 2: Convert to fraction form
    201,477/302,213.70 = 75,112.95/x
  3. Step 3: Cross multiply
    201,477x = 302,213.70 × 75,112.95
  4. Step 4: Simplify right side
    201,477x = 22,700,162,537.42
  5. Step 5: Solve for x
    x = 22,700,162,537.42/201,477
  6. Step 6: Final answer
    x = 112,668.75

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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.