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Finding the Fourth Proportional to 100,057.25, 149,845.36 and 57,232.89

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Solution

The fourth proportional to 100,057.25, 149,845.36 and 57,232.89 is: 85,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,057.25 : 149,845.36 = 57,232.89 : x
  2. Step 2: Convert to fraction form
    100,057.25/149,845.36 = 57,232.89/x
  3. Step 3: Cross multiply
    100,057.25x = 149,845.36 × 57,232.89
  4. Step 4: Simplify right side
    100,057.25x = 8,576,082,910.12
  5. Step 5: Solve for x
    x = 8,576,082,910.12/100,057.25
  6. Step 6: Final answer
    x = 85,711.76

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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.