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Finding the Fourth Proportional to 57,754.42, 86,579.67 and 20,809.78

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Solution

The fourth proportional to 57,754.42, 86,579.67 and 20,809.78 is: 31,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,754.42 : 86,579.67 = 20,809.78 : x
  2. Step 2: Convert to fraction form
    57,754.42/86,579.67 = 20,809.78/x
  3. Step 3: Cross multiply
    57,754.42x = 86,579.67 × 20,809.78
  4. Step 4: Simplify right side
    57,754.42x = 1,801,703,885.17
  5. Step 5: Solve for x
    x = 1,801,703,885.17/57,754.42
  6. Step 6: Final answer
    x = 31,195.95

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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.