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Finding the Fourth Proportional to 120,370.68, 166,109.51 and 66,654.56

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Solution

The fourth proportional to 120,370.68, 166,109.51 and 66,654.56 is: 91,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,370.68 : 166,109.51 = 66,654.56 : x
  2. Step 2: Convert to fraction form
    120,370.68/166,109.51 = 66,654.56/x
  3. Step 3: Cross multiply
    120,370.68x = 166,109.51 × 66,654.56
  4. Step 4: Simplify right side
    120,370.68x = 11,071,955,137.05
  5. Step 5: Solve for x
    x = 11,071,955,137.05/120,370.68
  6. Step 6: Final answer
    x = 91,982.16

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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.