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Finding the Fourth Proportional to 57,151.73, 85,760 and 30,855.89

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Solution

The fourth proportional to 57,151.73, 85,760 and 30,855.89 is: 46,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,151.73 : 85,760 = 30,855.89 : x
  2. Step 2: Convert to fraction form
    57,151.73/85,760 = 30,855.89/x
  3. Step 3: Cross multiply
    57,151.73x = 85,760 × 30,855.89
  4. Step 4: Simplify right side
    57,151.73x = 2,646,201,126.40
  5. Step 5: Solve for x
    x = 2,646,201,126.40/57,151.73
  6. Step 6: Final answer
    x = 46,301.33

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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.