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Finding the Fourth Proportional to 57,745.56, 86,717.16 and 35,689.80

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Solution

The fourth proportional to 57,745.56, 86,717.16 and 35,689.80 is: 53,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745.56 : 86,717.16 = 35,689.80 : x
  2. Step 2: Convert to fraction form
    57,745.56/86,717.16 = 35,689.80/x
  3. Step 3: Cross multiply
    57,745.56x = 86,717.16 × 35,689.80
  4. Step 4: Simplify right side
    57,745.56x = 3,094,918,096.97
  5. Step 5: Solve for x
    x = 3,094,918,096.97/57,745.56
  6. Step 6: Final answer
    x = 53,595.78

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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.