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Finding the Fourth Proportional to 203,775.03, 305,564.22 and 85,414.59

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Solution

The fourth proportional to 203,775.03, 305,564.22 and 85,414.59 is: 128,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,775.03 : 305,564.22 = 85,414.59 : x
  2. Step 2: Convert to fraction form
    203,775.03/305,564.22 = 85,414.59/x
  3. Step 3: Cross multiply
    203,775.03x = 305,564.22 × 85,414.59
  4. Step 4: Simplify right side
    203,775.03x = 26,099,642,569.97
  5. Step 5: Solve for x
    x = 26,099,642,569.97/203,775.03
  6. Step 6: Final answer
    x = 128,080.67

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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.