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Finding the Fourth Proportional to 74,255.90, 102,471.90 and 41,990

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Solution

The fourth proportional to 74,255.90, 102,471.90 and 41,990 is: 57,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,255.90 : 102,471.90 = 41,990 : x
  2. Step 2: Convert to fraction form
    74,255.90/102,471.90 = 41,990/x
  3. Step 3: Cross multiply
    74,255.90x = 102,471.90 × 41,990
  4. Step 4: Simplify right side
    74,255.90x = 4,302,795,081
  5. Step 5: Solve for x
    x = 4,302,795,081/74,255.90
  6. Step 6: Final answer
    x = 57,945.50

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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.