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Finding the Fourth Proportional to 201,212.85, 301,855.73 and 101,121.15

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Solution

The fourth proportional to 201,212.85, 301,855.73 and 101,121.15 is: 151,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212.85 : 301,855.73 = 101,121.15 : x
  2. Step 2: Convert to fraction form
    201,212.85/301,855.73 = 101,121.15/x
  3. Step 3: Cross multiply
    201,212.85x = 301,855.73 × 101,121.15
  4. Step 4: Simplify right side
    201,212.85x = 30,523,998,046.08
  5. Step 5: Solve for x
    x = 30,523,998,046.08/201,212.85
  6. Step 6: Final answer
    x = 151,700.04

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1.5x scale

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.