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Finding the Fourth Proportional to 55,206, 76,185.90 and 30,057.12

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Solution

The fourth proportional to 55,206, 76,185.90 and 30,057.12 is: 41,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206 : 76,185.90 = 30,057.12 : x
  2. Step 2: Convert to fraction form
    55,206/76,185.90 = 30,057.12/x
  3. Step 3: Cross multiply
    55,206x = 76,185.90 × 30,057.12
  4. Step 4: Simplify right side
    55,206x = 2,289,928,738.61
  5. Step 5: Solve for x
    x = 2,289,928,738.61/55,206
  6. Step 6: Final answer
    x = 41,479.71

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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.