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Finding the Fourth Proportional to 203,810.78, 305,749.59 and 83,835.22

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Solution

The fourth proportional to 203,810.78, 305,749.59 and 83,835.22 is: 125,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,810.78 : 305,749.59 = 83,835.22 : x
  2. Step 2: Convert to fraction form
    203,810.78/305,749.59 = 83,835.22/x
  3. Step 3: Cross multiply
    203,810.78x = 305,749.59 × 83,835.22
  4. Step 4: Simplify right side
    203,810.78x = 25,632,582,613.81
  5. Step 5: Solve for x
    x = 25,632,582,613.81/203,810.78
  6. Step 6: Final answer
    x = 125,766.57

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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.