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Finding the Fourth Proportional to 120,480.94, 166,265.09 and 66,766.87

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Solution

The fourth proportional to 120,480.94, 166,265.09 and 66,766.87 is: 92,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,480.94 : 166,265.09 = 66,766.87 : x
  2. Step 2: Convert to fraction form
    120,480.94/166,265.09 = 66,766.87/x
  3. Step 3: Cross multiply
    120,480.94x = 166,265.09 × 66,766.87
  4. Step 4: Simplify right side
    120,480.94x = 11,100,999,649.57
  5. Step 5: Solve for x
    x = 11,100,999,649.57/120,480.94
  6. Step 6: Final answer
    x = 92,139.05

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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.