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Finding the Fourth Proportional to 56,850.68, 85,276.56 and 21,782

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Solution

The fourth proportional to 56,850.68, 85,276.56 and 21,782 is: 32,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,850.68 : 85,276.56 = 21,782 : x
  2. Step 2: Convert to fraction form
    56,850.68/85,276.56 = 21,782/x
  3. Step 3: Cross multiply
    56,850.68x = 85,276.56 × 21,782
  4. Step 4: Simplify right side
    56,850.68x = 1,857,494,029.92
  5. Step 5: Solve for x
    x = 1,857,494,029.92/56,850.68
  6. Step 6: Final answer
    x = 32,673.21

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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.