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Finding the Fourth Proportional to 123,378.44, 185,069.18 and 43,418.80

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Solution

The fourth proportional to 123,378.44, 185,069.18 and 43,418.80 is: 65,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,378.44 : 185,069.18 = 43,418.80 : x
  2. Step 2: Convert to fraction form
    123,378.44/185,069.18 = 43,418.80/x
  3. Step 3: Cross multiply
    123,378.44x = 185,069.18 × 43,418.80
  4. Step 4: Simplify right side
    123,378.44x = 8,035,481,712.58
  5. Step 5: Solve for x
    x = 8,035,481,712.58/123,378.44
  6. Step 6: Final answer
    x = 65,128.73

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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.