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Finding the Fourth Proportional to 120,706.25, 166,573.40 and 66,991.73

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Solution

The fourth proportional to 120,706.25, 166,573.40 and 66,991.73 is: 92,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,706.25 : 166,573.40 = 66,991.73 : x
  2. Step 2: Convert to fraction form
    120,706.25/166,573.40 = 66,991.73/x
  3. Step 3: Cross multiply
    120,706.25x = 166,573.40 × 66,991.73
  4. Step 4: Simplify right side
    120,706.25x = 11,159,039,070.16
  5. Step 5: Solve for x
    x = 11,159,039,070.16/120,706.25
  6. Step 6: Final answer
    x = 92,447.90

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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.