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Finding the Fourth Proportional to 57,214, 85,826.94 and 15,661

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Solution

The fourth proportional to 57,214, 85,826.94 and 15,661 is: 23,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214 : 85,826.94 = 15,661 : x
  2. Step 2: Convert to fraction form
    57,214/85,826.94 = 15,661/x
  3. Step 3: Cross multiply
    57,214x = 85,826.94 × 15,661
  4. Step 4: Simplify right side
    57,214x = 1,344,135,707.34
  5. Step 5: Solve for x
    x = 1,344,135,707.34/57,214
  6. Step 6: Final answer
    x = 23,493.13

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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.