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Finding the Fourth Proportional to 74,460.78, 102,755.79 and 40,469.19

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Solution

The fourth proportional to 74,460.78, 102,755.79 and 40,469.19 is: 55,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460.78 : 102,755.79 = 40,469.19 : x
  2. Step 2: Convert to fraction form
    74,460.78/102,755.79 = 40,469.19/x
  3. Step 3: Cross multiply
    74,460.78x = 102,755.79 × 40,469.19
  4. Step 4: Simplify right side
    74,460.78x = 4,158,443,589.11
  5. Step 5: Solve for x
    x = 4,158,443,589.11/74,460.78
  6. Step 6: Final answer
    x = 55,847.44

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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.