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Finding the Fourth Proportional to 203,820.32, 305,657.73 and 83,842.21

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Solution

The fourth proportional to 203,820.32, 305,657.73 and 83,842.21 is: 125,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,820.32 : 305,657.73 = 83,842.21 : x
  2. Step 2: Convert to fraction form
    203,820.32/305,657.73 = 83,842.21/x
  3. Step 3: Cross multiply
    203,820.32x = 305,657.73 × 83,842.21
  4. Step 4: Simplify right side
    203,820.32x = 25,627,019,586.78
  5. Step 5: Solve for x
    x = 25,627,019,586.78/203,820.32
  6. Step 6: Final answer
    x = 125,733.39

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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.