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Finding the Fourth Proportional to 57,488.21, 86,232.74 and 20,048.21

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Solution

The fourth proportional to 57,488.21, 86,232.74 and 20,048.21 is: 30,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,488.21 : 86,232.74 = 20,048.21 : x
  2. Step 2: Convert to fraction form
    57,488.21/86,232.74 = 20,048.21/x
  3. Step 3: Cross multiply
    57,488.21x = 86,232.74 × 20,048.21
  4. Step 4: Simplify right side
    57,488.21x = 1,728,811,548.99
  5. Step 5: Solve for x
    x = 1,728,811,548.99/57,488.21
  6. Step 6: Final answer
    x = 30,072.46

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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.