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Finding the Fourth Proportional to 123,803.93, 185,704.07 and 30,309.68

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Solution

The fourth proportional to 123,803.93, 185,704.07 and 30,309.68 is: 45,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,803.93 : 185,704.07 = 30,309.68 : x
  2. Step 2: Convert to fraction form
    123,803.93/185,704.07 = 30,309.68/x
  3. Step 3: Cross multiply
    123,803.93x = 185,704.07 × 30,309.68
  4. Step 4: Simplify right side
    123,803.93x = 5,628,629,856.33
  5. Step 5: Solve for x
    x = 5,628,629,856.33/123,803.93
  6. Step 6: Final answer
    x = 45,464.07

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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.