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Finding the Fourth Proportional to 119,834, 165,370.92 and 66,842

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Solution

The fourth proportional to 119,834, 165,370.92 and 66,842 is: 92,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,834 : 165,370.92 = 66,842 : x
  2. Step 2: Convert to fraction form
    119,834/165,370.92 = 66,842/x
  3. Step 3: Cross multiply
    119,834x = 165,370.92 × 66,842
  4. Step 4: Simplify right side
    119,834x = 11,053,723,034.64
  5. Step 5: Solve for x
    x = 11,053,723,034.64/119,834
  6. Step 6: Final answer
    x = 92,241.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.