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Finding the Fourth Proportional to 189,008, 283,371.38 and 82,371.72

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Solution

The fourth proportional to 189,008, 283,371.38 and 82,371.72 is: 123,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,008 : 283,371.38 = 82,371.72 : x
  2. Step 2: Convert to fraction form
    189,008/283,371.38 = 82,371.72/x
  3. Step 3: Cross multiply
    189,008x = 283,371.38 × 82,371.72
  4. Step 4: Simplify right side
    189,008x = 23,341,787,969.37
  5. Step 5: Solve for x
    x = 23,341,787,969.37/189,008
  6. Step 6: Final answer
    x = 123,496.30

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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.