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Finding the Fourth Proportional to 120,171, 165,832.62 and 66,454.20

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Solution

The fourth proportional to 120,171, 165,832.62 and 66,454.20 is: 91,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,171 : 165,832.62 = 66,454.20 : x
  2. Step 2: Convert to fraction form
    120,171/165,832.62 = 66,454.20/x
  3. Step 3: Cross multiply
    120,171x = 165,832.62 × 66,454.20
  4. Step 4: Simplify right side
    120,171x = 11,020,274,096.00
  5. Step 5: Solve for x
    x = 11,020,274,096.00/120,171
  6. Step 6: Final answer
    x = 91,704.94

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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.