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Finding the Fourth Proportional to 201,900, 278,363.22 and 165,467.33

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Solution

The fourth proportional to 201,900, 278,363.22 and 165,467.33 is: 228,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,900 : 278,363.22 = 165,467.33 : x
  2. Step 2: Convert to fraction form
    201,900/278,363.22 = 165,467.33/x
  3. Step 3: Cross multiply
    201,900x = 278,363.22 × 165,467.33
  4. Step 4: Simplify right side
    201,900x = 46,060,017,391.79
  5. Step 5: Solve for x
    x = 46,060,017,391.79/201,900
  6. Step 6: Final answer
    x = 228,132.83

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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.