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Finding the Fourth Proportional to 119,840, 165,379.20 and 66,848

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Solution

The fourth proportional to 119,840, 165,379.20 and 66,848 is: 92,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,840 : 165,379.20 = 66,848 : x
  2. Step 2: Convert to fraction form
    119,840/165,379.20 = 66,848/x
  3. Step 3: Cross multiply
    119,840x = 165,379.20 × 66,848
  4. Step 4: Simplify right side
    119,840x = 11,055,268,761.60
  5. Step 5: Solve for x
    x = 11,055,268,761.60/119,840
  6. Step 6: Final answer
    x = 92,250.24

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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.