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Finding the Fourth Proportional to 74,644, 103,009.20 and 41,112.16

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Solution

The fourth proportional to 74,644, 103,009.20 and 41,112.16 is: 56,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,644 : 103,009.20 = 41,112.16 : x
  2. Step 2: Convert to fraction form
    74,644/103,009.20 = 41,112.16/x
  3. Step 3: Cross multiply
    74,644x = 103,009.20 × 41,112.16
  4. Step 4: Simplify right side
    74,644x = 4,234,930,711.87
  5. Step 5: Solve for x
    x = 4,234,930,711.87/74,644
  6. Step 6: Final answer
    x = 56,735.05

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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.