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Finding the Fourth Proportional to 203,418.22, 280,733.72 and 112,802.60

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Solution

The fourth proportional to 203,418.22, 280,733.72 and 112,802.60 is: 155,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,418.22 : 280,733.72 = 112,802.60 : x
  2. Step 2: Convert to fraction form
    203,418.22/280,733.72 = 112,802.60/x
  3. Step 3: Cross multiply
    203,418.22x = 280,733.72 × 112,802.60
  4. Step 4: Simplify right side
    203,418.22x = 31,667,493,523.67
  5. Step 5: Solve for x
    x = 31,667,493,523.67/203,418.22
  6. Step 6: Final answer
    x = 155,676.78

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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.