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Finding the Fourth Proportional to 74,956, 103,439.56 and 41,422

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Solution

The fourth proportional to 74,956, 103,439.56 and 41,422 is: 57,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,956 : 103,439.56 = 41,422 : x
  2. Step 2: Convert to fraction form
    74,956/103,439.56 = 41,422/x
  3. Step 3: Cross multiply
    74,956x = 103,439.56 × 41,422
  4. Step 4: Simplify right side
    74,956x = 4,284,673,454.32
  5. Step 5: Solve for x
    x = 4,284,673,454.32/74,956
  6. Step 6: Final answer
    x = 57,162.51

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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.