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Finding the Fourth Proportional to 57,709.62, 86,569.38 and 20,266.48

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Solution

The fourth proportional to 57,709.62, 86,569.38 and 20,266.48 is: 30,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.62 : 86,569.38 = 20,266.48 : x
  2. Step 2: Convert to fraction form
    57,709.62/86,569.38 = 20,266.48/x
  3. Step 3: Cross multiply
    57,709.62x = 86,569.38 × 20,266.48
  4. Step 4: Simplify right side
    57,709.62x = 1,754,456,608.38
  5. Step 5: Solve for x
    x = 1,754,456,608.38/57,709.62
  6. Step 6: Final answer
    x = 30,401.46

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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.