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Finding the Fourth Proportional to 120,144.80, 165,787.14 and 66,421.14

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Solution

The fourth proportional to 120,144.80, 165,787.14 and 66,421.14 is: 91,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,144.80 : 165,787.14 = 66,421.14 : x
  2. Step 2: Convert to fraction form
    120,144.80/165,787.14 = 66,421.14/x
  3. Step 3: Cross multiply
    120,144.80x = 165,787.14 × 66,421.14
  4. Step 4: Simplify right side
    120,144.80x = 11,011,770,836.14
  5. Step 5: Solve for x
    x = 11,011,770,836.14/120,144.80
  6. Step 6: Final answer
    x = 91,654.16

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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.