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Finding the Fourth Proportional to 57,299.72, 85,914.24 and 19,851.08

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Solution

The fourth proportional to 57,299.72, 85,914.24 and 19,851.08 is: 29,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,299.72 : 85,914.24 = 19,851.08 : x
  2. Step 2: Convert to fraction form
    57,299.72/85,914.24 = 19,851.08/x
  3. Step 3: Cross multiply
    57,299.72x = 85,914.24 × 19,851.08
  4. Step 4: Simplify right side
    57,299.72x = 1,705,490,451.38
  5. Step 5: Solve for x
    x = 1,705,490,451.38/57,299.72
  6. Step 6: Final answer
    x = 29,764.38

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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.