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Finding the Fourth Proportional to 120,602.70, 166,441.92 and 66,905

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Solution

The fourth proportional to 120,602.70, 166,441.92 and 66,905 is: 92,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,602.70 : 166,441.92 = 66,905 : x
  2. Step 2: Convert to fraction form
    120,602.70/166,441.92 = 66,905/x
  3. Step 3: Cross multiply
    120,602.70x = 166,441.92 × 66,905
  4. Step 4: Simplify right side
    120,602.70x = 11,135,796,657.60
  5. Step 5: Solve for x
    x = 11,135,796,657.60/120,602.70
  6. Step 6: Final answer
    x = 92,334.56

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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.