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Finding the Fourth Proportional to 189,858.02, 285,229.92 and 111,027.74

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Solution

The fourth proportional to 189,858.02, 285,229.92 and 111,027.74 is: 166,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,858.02 : 285,229.92 = 111,027.74 : x
  2. Step 2: Convert to fraction form
    189,858.02/285,229.92 = 111,027.74/x
  3. Step 3: Cross multiply
    189,858.02x = 285,229.92 × 111,027.74
  4. Step 4: Simplify right side
    189,858.02x = 31,668,433,397.98
  5. Step 5: Solve for x
    x = 31,668,433,397.98/189,858.02
  6. Step 6: Final answer
    x = 166,800.61

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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.