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Finding the Fourth Proportional to 202,840.28, 279,914.32 and 112,194

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Solution

The fourth proportional to 202,840.28, 279,914.32 and 112,194 is: 154,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,840.28 : 279,914.32 = 112,194 : x
  2. Step 2: Convert to fraction form
    202,840.28/279,914.32 = 112,194/x
  3. Step 3: Cross multiply
    202,840.28x = 279,914.32 × 112,194
  4. Step 4: Simplify right side
    202,840.28x = 31,404,707,218.08
  5. Step 5: Solve for x
    x = 31,404,707,218.08/202,840.28
  6. Step 6: Final answer
    x = 154,824.81

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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.