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Finding the Fourth Proportional to 202,855.22, 279,918.64 and 112,196.78

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Solution

The fourth proportional to 202,855.22, 279,918.64 and 112,196.78 is: 154,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,855.22 : 279,918.64 = 112,196.78 : x
  2. Step 2: Convert to fraction form
    202,855.22/279,918.64 = 112,196.78/x
  3. Step 3: Cross multiply
    202,855.22x = 279,918.64 × 112,196.78
  4. Step 4: Simplify right side
    202,855.22x = 31,405,970,069.98
  5. Step 5: Solve for x
    x = 31,405,970,069.98/202,855.22
  6. Step 6: Final answer
    x = 154,819.63

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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.