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Finding the Fourth Proportional to 120,738.80, 180,935.40 and 83,759.60

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Solution

The fourth proportional to 120,738.80, 180,935.40 and 83,759.60 is: 125,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738.80 : 180,935.40 = 83,759.60 : x
  2. Step 2: Convert to fraction form
    120,738.80/180,935.40 = 83,759.60/x
  3. Step 3: Cross multiply
    120,738.80x = 180,935.40 × 83,759.60
  4. Step 4: Simplify right side
    120,738.80x = 15,155,076,729.84
  5. Step 5: Solve for x
    x = 15,155,076,729.84/120,738.80
  6. Step 6: Final answer
    x = 125,519.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.