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Finding the Fourth Proportional to 57,243.78, 85,841.37 and 30,941.46

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Solution

The fourth proportional to 57,243.78, 85,841.37 and 30,941.46 is: 46,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243.78 : 85,841.37 = 30,941.46 : x
  2. Step 2: Convert to fraction form
    57,243.78/85,841.37 = 30,941.46/x
  3. Step 3: Cross multiply
    57,243.78x = 85,841.37 × 30,941.46
  4. Step 4: Simplify right side
    57,243.78x = 2,656,057,316.20
  5. Step 5: Solve for x
    x = 2,656,057,316.20/57,243.78
  6. Step 6: Final answer
    x = 46,399.06

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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.