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Finding the Fourth Proportional to 189,412.89, 283,890.87 and 82,751.09

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Solution

The fourth proportional to 189,412.89, 283,890.87 and 82,751.09 is: 124,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,412.89 : 283,890.87 = 82,751.09 : x
  2. Step 2: Convert to fraction form
    189,412.89/283,890.87 = 82,751.09/x
  3. Step 3: Cross multiply
    189,412.89x = 283,890.87 × 82,751.09
  4. Step 4: Simplify right side
    189,412.89x = 23,492,277,514.09
  5. Step 5: Solve for x
    x = 23,492,277,514.09/189,412.89
  6. Step 6: Final answer
    x = 124,026.82

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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.