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Finding the Fourth Proportional to 57,757.50, 86,636.25 and 20,821.50

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Solution

The fourth proportional to 57,757.50, 86,636.25 and 20,821.50 is: 31,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,757.50 : 86,636.25 = 20,821.50 : x
  2. Step 2: Convert to fraction form
    57,757.50/86,636.25 = 20,821.50/x
  3. Step 3: Cross multiply
    57,757.50x = 86,636.25 × 20,821.50
  4. Step 4: Simplify right side
    57,757.50x = 1,803,896,679.38
  5. Step 5: Solve for x
    x = 1,803,896,679.38/57,757.50
  6. Step 6: Final answer
    x = 31,232.25

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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.