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Finding the Fourth Proportional to 222,382.53, 306,866.75 and 131,738.67

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Solution

The fourth proportional to 222,382.53, 306,866.75 and 131,738.67 is: 181,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,382.53 : 306,866.75 = 131,738.67 : x
  2. Step 2: Convert to fraction form
    222,382.53/306,866.75 = 131,738.67/x
  3. Step 3: Cross multiply
    222,382.53x = 306,866.75 × 131,738.67
  4. Step 4: Simplify right side
    222,382.53x = 40,426,216,853.53
  5. Step 5: Solve for x
    x = 40,426,216,853.53/222,382.53
  6. Step 6: Final answer
    x = 181,786.84

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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.