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Finding the Fourth Proportional to 201,109.70, 301,834.65 and 82,865.90

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Solution

The fourth proportional to 201,109.70, 301,834.65 and 82,865.90 is: 124,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,109.70 : 301,834.65 = 82,865.90 : x
  2. Step 2: Convert to fraction form
    201,109.70/301,834.65 = 82,865.90/x
  3. Step 3: Cross multiply
    201,109.70x = 301,834.65 × 82,865.90
  4. Step 4: Simplify right side
    201,109.70x = 25,011,799,923.44
  5. Step 5: Solve for x
    x = 25,011,799,923.44/201,109.70
  6. Step 6: Final answer
    x = 124,368.94

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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.