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Finding the Fourth Proportional to 57,314.95, 85,940.92 and 19,871.68

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Solution

The fourth proportional to 57,314.95, 85,940.92 and 19,871.68 is: 29,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314.95 : 85,940.92 = 19,871.68 : x
  2. Step 2: Convert to fraction form
    57,314.95/85,940.92 = 19,871.68/x
  3. Step 3: Cross multiply
    57,314.95x = 85,940.92 × 19,871.68
  4. Step 4: Simplify right side
    57,314.95x = 1,707,790,461.15
  5. Step 5: Solve for x
    x = 1,707,790,461.15/57,314.95
  6. Step 6: Final answer
    x = 29,796.60

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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.