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Finding the Fourth Proportional to 119,820, 165,351.60 and 66,828

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Solution

The fourth proportional to 119,820, 165,351.60 and 66,828 is: 92,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,820 : 165,351.60 = 66,828 : x
  2. Step 2: Convert to fraction form
    119,820/165,351.60 = 66,828/x
  3. Step 3: Cross multiply
    119,820x = 165,351.60 × 66,828
  4. Step 4: Simplify right side
    119,820x = 11,050,116,724.80
  5. Step 5: Solve for x
    x = 11,050,116,724.80/119,820
  6. Step 6: Final answer
    x = 92,222.64

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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.