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Finding the Fourth Proportional to 202,268, 279,129.96 and 112,844

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Solution

The fourth proportional to 202,268, 279,129.96 and 112,844 is: 155,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,268 : 279,129.96 = 112,844 : x
  2. Step 2: Convert to fraction form
    202,268/279,129.96 = 112,844/x
  3. Step 3: Cross multiply
    202,268x = 279,129.96 × 112,844
  4. Step 4: Simplify right side
    202,268x = 31,498,141,206.24
  5. Step 5: Solve for x
    x = 31,498,141,206.24/202,268
  6. Step 6: Final answer
    x = 155,724.79

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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.