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Finding the Fourth Proportional to 57,709.70, 86,576.70 and 18,270.80

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Solution

The fourth proportional to 57,709.70, 86,576.70 and 18,270.80 is: 27,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.70 : 86,576.70 = 18,270.80 : x
  2. Step 2: Convert to fraction form
    57,709.70/86,576.70 = 18,270.80/x
  3. Step 3: Cross multiply
    57,709.70x = 86,576.70 × 18,270.80
  4. Step 4: Simplify right side
    57,709.70x = 1,581,825,570.36
  5. Step 5: Solve for x
    x = 1,581,825,570.36/57,709.70
  6. Step 6: Final answer
    x = 27,410.05

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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.