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Finding the Fourth Proportional to 202,382.98, 279,288.89 and 111,739.12

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Solution

The fourth proportional to 202,382.98, 279,288.89 and 111,739.12 is: 154,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382.98 : 279,288.89 = 111,739.12 : x
  2. Step 2: Convert to fraction form
    202,382.98/279,288.89 = 111,739.12/x
  3. Step 3: Cross multiply
    202,382.98x = 279,288.89 × 111,739.12
  4. Step 4: Simplify right side
    202,382.98x = 31,207,494,235.68
  5. Step 5: Solve for x
    x = 31,207,494,235.68/202,382.98
  6. Step 6: Final answer
    x = 154,200.19

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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.