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Finding the Fourth Proportional to 51,165, 76,791.24 and 20,022.12

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Solution

The fourth proportional to 51,165, 76,791.24 and 20,022.12 is: 30,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165 : 76,791.24 = 20,022.12 : x
  2. Step 2: Convert to fraction form
    51,165/76,791.24 = 20,022.12/x
  3. Step 3: Cross multiply
    51,165x = 76,791.24 × 20,022.12
  4. Step 4: Simplify right side
    51,165x = 1,537,523,422.23
  5. Step 5: Solve for x
    x = 1,537,523,422.23/51,165
  6. Step 6: Final answer
    x = 30,050.30

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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.