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Finding the Fourth Proportional to 57,181, 85,676.76 and 40,458.16

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Solution

The fourth proportional to 57,181, 85,676.76 and 40,458.16 is: 60,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,181 : 85,676.76 = 40,458.16 : x
  2. Step 2: Convert to fraction form
    57,181/85,676.76 = 40,458.16/x
  3. Step 3: Cross multiply
    57,181x = 85,676.76 × 40,458.16
  4. Step 4: Simplify right side
    57,181x = 3,466,324,064.36
  5. Step 5: Solve for x
    x = 3,466,324,064.36/57,181
  6. Step 6: Final answer
    x = 60,620.21

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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.