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Finding the Fourth Proportional to 201,212.80, 301,709.85 and 82,896.10

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Solution

The fourth proportional to 201,212.80, 301,709.85 and 82,896.10 is: 124,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212.80 : 301,709.85 = 82,896.10 : x
  2. Step 2: Convert to fraction form
    201,212.80/301,709.85 = 82,896.10/x
  3. Step 3: Cross multiply
    201,212.80x = 301,709.85 × 82,896.10
  4. Step 4: Simplify right side
    201,212.80x = 25,010,569,896.59
  5. Step 5: Solve for x
    x = 25,010,569,896.59/201,212.80
  6. Step 6: Final answer
    x = 124,299.10

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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.