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Finding the Fourth Proportional to 74,453.14, 102,772.38 and 49,310.74

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Solution

The fourth proportional to 74,453.14, 102,772.38 and 49,310.74 is: 68,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,453.14 : 102,772.38 = 49,310.74 : x
  2. Step 2: Convert to fraction form
    74,453.14/102,772.38 = 49,310.74/x
  3. Step 3: Cross multiply
    74,453.14x = 102,772.38 × 49,310.74
  4. Step 4: Simplify right side
    74,453.14x = 5,067,782,109.36
  5. Step 5: Solve for x
    x = 5,067,782,109.36/74,453.14
  6. Step 6: Final answer
    x = 68,066.73

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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.