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Finding the Fourth Proportional to 57,274.72, 85,891.48 and 19,824.64

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Solution

The fourth proportional to 57,274.72, 85,891.48 and 19,824.64 is: 29,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,274.72 : 85,891.48 = 19,824.64 : x
  2. Step 2: Convert to fraction form
    57,274.72/85,891.48 = 19,824.64/x
  3. Step 3: Cross multiply
    57,274.72x = 85,891.48 × 19,824.64
  4. Step 4: Simplify right side
    57,274.72x = 1,702,767,670.07
  5. Step 5: Solve for x
    x = 1,702,767,670.07/57,274.72
  6. Step 6: Final answer
    x = 29,729.83

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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.