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Finding the Fourth Proportional to 179,936, 269,719.68 and 74,816

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Solution

The fourth proportional to 179,936, 269,719.68 and 74,816 is: 112,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,936 : 269,719.68 = 74,816 : x
  2. Step 2: Convert to fraction form
    179,936/269,719.68 = 74,816/x
  3. Step 3: Cross multiply
    179,936x = 269,719.68 × 74,816
  4. Step 4: Simplify right side
    179,936x = 20,179,347,578.88
  5. Step 5: Solve for x
    x = 20,179,347,578.88/179,936
  6. Step 6: Final answer
    x = 112,147.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.