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Finding the Fourth Proportional to 120,586.32, 166,414.50 and 66,867.73

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Solution

The fourth proportional to 120,586.32, 166,414.50 and 66,867.73 is: 92,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,586.32 : 166,414.50 = 66,867.73 : x
  2. Step 2: Convert to fraction form
    120,586.32/166,414.50 = 66,867.73/x
  3. Step 3: Cross multiply
    120,586.32x = 166,414.50 × 66,867.73
  4. Step 4: Simplify right side
    120,586.32x = 11,127,759,438.05
  5. Step 5: Solve for x
    x = 11,127,759,438.05/120,586.32
  6. Step 6: Final answer
    x = 92,280.45

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1.5x scale

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.