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Finding the Fourth Proportional to 133,105.75, 183,664.26 and 78,650.34

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Solution

The fourth proportional to 133,105.75, 183,664.26 and 78,650.34 is: 108,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,105.75 : 183,664.26 = 78,650.34 : x
  2. Step 2: Convert to fraction form
    133,105.75/183,664.26 = 78,650.34/x
  3. Step 3: Cross multiply
    133,105.75x = 183,664.26 × 78,650.34
  4. Step 4: Simplify right side
    133,105.75x = 14,445,256,494.85
  5. Step 5: Solve for x
    x = 14,445,256,494.85/133,105.75
  6. Step 6: Final answer
    x = 108,524.67

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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.