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Finding the Fourth Proportional to 57,076.80, 85,599.84 and 20,136

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Solution

The fourth proportional to 57,076.80, 85,599.84 and 20,136 is: 30,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,076.80 : 85,599.84 = 20,136 : x
  2. Step 2: Convert to fraction form
    57,076.80/85,599.84 = 20,136/x
  3. Step 3: Cross multiply
    57,076.80x = 85,599.84 × 20,136
  4. Step 4: Simplify right side
    57,076.80x = 1,723,638,378.24
  5. Step 5: Solve for x
    x = 1,723,638,378.24/57,076.80
  6. Step 6: Final answer
    x = 30,198.58

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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.