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Finding the Fourth Proportional to 119,884, 165,439.92 and 66,892

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Solution

The fourth proportional to 119,884, 165,439.92 and 66,892 is: 92,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,884 : 165,439.92 = 66,892 : x
  2. Step 2: Convert to fraction form
    119,884/165,439.92 = 66,892/x
  3. Step 3: Cross multiply
    119,884x = 165,439.92 × 66,892
  4. Step 4: Simplify right side
    119,884x = 11,066,607,128.64
  5. Step 5: Solve for x
    x = 11,066,607,128.64/119,884
  6. Step 6: Final answer
    x = 92,310.96

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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.