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Finding the Fourth Proportional to 57,274.60, 85,891.30 and 19,824.50

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Solution

The fourth proportional to 57,274.60, 85,891.30 and 19,824.50 is: 29,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,274.60 : 85,891.30 = 19,824.50 : x
  2. Step 2: Convert to fraction form
    57,274.60/85,891.30 = 19,824.50/x
  3. Step 3: Cross multiply
    57,274.60x = 85,891.30 × 19,824.50
  4. Step 4: Simplify right side
    57,274.60x = 1,702,752,076.85
  5. Step 5: Solve for x
    x = 1,702,752,076.85/57,274.60
  6. Step 6: Final answer
    x = 29,729.62

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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.