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Finding the Fourth Proportional to 119,828, 165,362.64 and 66,836

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Solution

The fourth proportional to 119,828, 165,362.64 and 66,836 is: 92,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,828 : 165,362.64 = 66,836 : x
  2. Step 2: Convert to fraction form
    119,828/165,362.64 = 66,836/x
  3. Step 3: Cross multiply
    119,828x = 165,362.64 × 66,836
  4. Step 4: Simplify right side
    119,828x = 11,052,177,407.04
  5. Step 5: Solve for x
    x = 11,052,177,407.04/119,828
  6. Step 6: Final answer
    x = 92,233.68

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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.