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Finding the Fourth Proportional to 100,021.59, 149,986.21 and 36,825.84

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Solution

The fourth proportional to 100,021.59, 149,986.21 and 36,825.84 is: 55,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,021.59 : 149,986.21 = 36,825.84 : x
  2. Step 2: Convert to fraction form
    100,021.59/149,986.21 = 36,825.84/x
  3. Step 3: Cross multiply
    100,021.59x = 149,986.21 × 36,825.84
  4. Step 4: Simplify right side
    100,021.59x = 5,523,368,171.67
  5. Step 5: Solve for x
    x = 5,523,368,171.67/100,021.59
  6. Step 6: Final answer
    x = 55,221.76

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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.