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Finding the Fourth Proportional to 123,771.20, 185,656.80 and 81,780.80

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Solution

The fourth proportional to 123,771.20, 185,656.80 and 81,780.80 is: 122,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,771.20 : 185,656.80 = 81,780.80 : x
  2. Step 2: Convert to fraction form
    123,771.20/185,656.80 = 81,780.80/x
  3. Step 3: Cross multiply
    123,771.20x = 185,656.80 × 81,780.80
  4. Step 4: Simplify right side
    123,771.20x = 15,183,161,629.44
  5. Step 5: Solve for x
    x = 15,183,161,629.44/123,771.20
  6. Step 6: Final answer
    x = 122,671.20

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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.