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Finding the Fourth Proportional to 41,978.94, 57,935.02 and 31,350.12

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Solution

The fourth proportional to 41,978.94, 57,935.02 and 31,350.12 is: 43,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.94 : 57,935.02 = 31,350.12 : x
  2. Step 2: Convert to fraction form
    41,978.94/57,935.02 = 31,350.12/x
  3. Step 3: Cross multiply
    41,978.94x = 57,935.02 × 31,350.12
  4. Step 4: Simplify right side
    41,978.94x = 1,816,269,829.20
  5. Step 5: Solve for x
    x = 1,816,269,829.20/41,978.94
  6. Step 6: Final answer
    x = 43,266.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.