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Finding the Fourth Proportional to 119,906, 165,470.28 and 66,914

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Solution

The fourth proportional to 119,906, 165,470.28 and 66,914 is: 92,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,906 : 165,470.28 = 66,914 : x
  2. Step 2: Convert to fraction form
    119,906/165,470.28 = 66,914/x
  3. Step 3: Cross multiply
    119,906x = 165,470.28 × 66,914
  4. Step 4: Simplify right side
    119,906x = 11,072,278,315.92
  5. Step 5: Solve for x
    x = 11,072,278,315.92/119,906
  6. Step 6: Final answer
    x = 92,341.32

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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.