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Finding the Fourth Proportional to 51,170, 76,798.74 and 20,027.12

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Solution

The fourth proportional to 51,170, 76,798.74 and 20,027.12 is: 30,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,170 : 76,798.74 = 20,027.12 : x
  2. Step 2: Convert to fraction form
    51,170/76,798.74 = 20,027.12/x
  3. Step 3: Cross multiply
    51,170x = 76,798.74 × 20,027.12
  4. Step 4: Simplify right side
    51,170x = 1,538,057,581.83
  5. Step 5: Solve for x
    x = 1,538,057,581.83/51,170
  6. Step 6: Final answer
    x = 30,057.80

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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.