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Finding the Fourth Proportional to 50,311, 69,431.46 and 27,955

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Solution

The fourth proportional to 50,311, 69,431.46 and 27,955 is: 38,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,311 : 69,431.46 = 27,955 : x
  2. Step 2: Convert to fraction form
    50,311/69,431.46 = 27,955/x
  3. Step 3: Cross multiply
    50,311x = 69,431.46 × 27,955
  4. Step 4: Simplify right side
    50,311x = 1,940,956,464.30
  5. Step 5: Solve for x
    x = 1,940,956,464.30/50,311
  6. Step 6: Final answer
    x = 38,579.17

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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.