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Finding the Fourth Proportional to 201,213.85, 301,857.23 and 101,122.15

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Solution

The fourth proportional to 201,213.85, 301,857.23 and 101,122.15 is: 151,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.85 : 301,857.23 = 101,122.15 : x
  2. Step 2: Convert to fraction form
    201,213.85/301,857.23 = 101,122.15/x
  3. Step 3: Cross multiply
    201,213.85x = 301,857.23 × 101,122.15
  4. Step 4: Simplify right side
    201,213.85x = 30,524,452,090.64
  5. Step 5: Solve for x
    x = 30,524,452,090.64/201,213.85
  6. Step 6: Final answer
    x = 151,701.55

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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.