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Finding the Fourth Proportional to 201,906.15, 302,859.23 and 138,920.55

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Solution

The fourth proportional to 201,906.15, 302,859.23 and 138,920.55 is: 208,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.15 : 302,859.23 = 138,920.55 : x
  2. Step 2: Convert to fraction form
    201,906.15/302,859.23 = 138,920.55/x
  3. Step 3: Cross multiply
    201,906.15x = 302,859.23 × 138,920.55
  4. Step 4: Simplify right side
    201,906.15x = 42,073,370,109.57
  5. Step 5: Solve for x
    x = 42,073,370,109.57/201,906.15
  6. Step 6: Final answer
    x = 208,380.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.