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Finding the Fourth Proportional to 120,951.82, 166,914.72 and 66,506.86

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Solution

The fourth proportional to 120,951.82, 166,914.72 and 66,506.86 is: 91,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,951.82 : 166,914.72 = 66,506.86 : x
  2. Step 2: Convert to fraction form
    120,951.82/166,914.72 = 66,506.86/x
  3. Step 3: Cross multiply
    120,951.82x = 166,914.72 × 66,506.86
  4. Step 4: Simplify right side
    120,951.82x = 11,100,973,497.69
  5. Step 5: Solve for x
    x = 11,100,973,497.69/120,951.82
  6. Step 6: Final answer
    x = 91,780.13

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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.