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Finding the Fourth Proportional to 133,911.22, 184,884.06 and 82,978

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Solution

The fourth proportional to 133,911.22, 184,884.06 and 82,978 is: 114,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911.22 : 184,884.06 = 82,978 : x
  2. Step 2: Convert to fraction form
    133,911.22/184,884.06 = 82,978/x
  3. Step 3: Cross multiply
    133,911.22x = 184,884.06 × 82,978
  4. Step 4: Simplify right side
    133,911.22x = 15,341,309,115.79
  5. Step 5: Solve for x
    x = 15,341,309,115.79/133,911.22
  6. Step 6: Final answer
    x = 114,563.28

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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.