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Finding the Fourth Proportional to 189,268, 283,950 and 70,939.68

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Solution

The fourth proportional to 189,268, 283,950 and 70,939.68 is: 106,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,268 : 283,950 = 70,939.68 : x
  2. Step 2: Convert to fraction form
    189,268/283,950 = 70,939.68/x
  3. Step 3: Cross multiply
    189,268x = 283,950 × 70,939.68
  4. Step 4: Simplify right side
    189,268x = 20,143,322,136.00
  5. Step 5: Solve for x
    x = 20,143,322,136.00/189,268
  6. Step 6: Final answer
    x = 106,427.51

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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.