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Finding the Fourth Proportional to 57,057.78, 85,669.73 and 40,505.70

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Solution

The fourth proportional to 57,057.78, 85,669.73 and 40,505.70 is: 60,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.78 : 85,669.73 = 40,505.70 : x
  2. Step 2: Convert to fraction form
    57,057.78/85,669.73 = 40,505.70/x
  3. Step 3: Cross multiply
    57,057.78x = 85,669.73 × 40,505.70
  4. Step 4: Simplify right side
    57,057.78x = 3,470,112,179.93
  5. Step 5: Solve for x
    x = 3,470,112,179.93/57,057.78
  6. Step 6: Final answer
    x = 60,817.51

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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.