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Finding the Fourth Proportional to 189,297.11, 283,745.64 and 82,587.61

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Solution

The fourth proportional to 189,297.11, 283,745.64 and 82,587.61 is: 123,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,297.11 : 283,745.64 = 82,587.61 : x
  2. Step 2: Convert to fraction form
    189,297.11/283,745.64 = 82,587.61/x
  3. Step 3: Cross multiply
    189,297.11x = 283,745.64 × 82,587.61
  4. Step 4: Simplify right side
    189,297.11x = 23,433,872,836.79
  5. Step 5: Solve for x
    x = 23,433,872,836.79/189,297.11
  6. Step 6: Final answer
    x = 123,794.14

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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.