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Finding the Fourth Proportional to 189,145.82, 283,786.49 and 81,029.83

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Solution

The fourth proportional to 189,145.82, 283,786.49 and 81,029.83 is: 121,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,145.82 : 283,786.49 = 81,029.83 : x
  2. Step 2: Convert to fraction form
    189,145.82/283,786.49 = 81,029.83/x
  3. Step 3: Cross multiply
    189,145.82x = 283,786.49 × 81,029.83
  4. Step 4: Simplify right side
    189,145.82x = 22,995,171,041.00
  5. Step 5: Solve for x
    x = 22,995,171,041.00/189,145.82
  6. Step 6: Final answer
    x = 121,573.77

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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.