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Finding the Fourth Proportional to 202,776.22, 279,833 and 112,138.29

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Solution

The fourth proportional to 202,776.22, 279,833 and 112,138.29 is: 154,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,776.22 : 279,833 = 112,138.29 : x
  2. Step 2: Convert to fraction form
    202,776.22/279,833 = 112,138.29/x
  3. Step 3: Cross multiply
    202,776.22x = 279,833 × 112,138.29
  4. Step 4: Simplify right side
    202,776.22x = 31,379,994,105.57
  5. Step 5: Solve for x
    x = 31,379,994,105.57/202,776.22
  6. Step 6: Final answer
    x = 154,751.84

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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.