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Finding the Fourth Proportional to 120,994.56, 166,962.06 and 67,278.60

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Solution

The fourth proportional to 120,994.56, 166,962.06 and 67,278.60 is: 92,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,994.56 : 166,962.06 = 67,278.60 : x
  2. Step 2: Convert to fraction form
    120,994.56/166,962.06 = 67,278.60/x
  3. Step 3: Cross multiply
    120,994.56x = 166,962.06 × 67,278.60
  4. Step 4: Simplify right side
    120,994.56x = 11,232,973,649.92
  5. Step 5: Solve for x
    x = 11,232,973,649.92/120,994.56
  6. Step 6: Final answer
    x = 92,838.67

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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.