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Finding the Fourth Proportional to 120,571.68, 166,388.04 and 66,856.68

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Solution

The fourth proportional to 120,571.68, 166,388.04 and 66,856.68 is: 92,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,571.68 : 166,388.04 = 66,856.68 : x
  2. Step 2: Convert to fraction form
    120,571.68/166,388.04 = 66,856.68/x
  3. Step 3: Cross multiply
    120,571.68x = 166,388.04 × 66,856.68
  4. Step 4: Simplify right side
    120,571.68x = 11,124,151,946.11
  5. Step 5: Solve for x
    x = 11,124,151,946.11/120,571.68
  6. Step 6: Final answer
    x = 92,261.73

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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.