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Finding the Fourth Proportional to 133,761.72, 184,609.96 and 82,790.79

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Solution

The fourth proportional to 133,761.72, 184,609.96 and 82,790.79 is: 114,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,761.72 : 184,609.96 = 82,790.79 : x
  2. Step 2: Convert to fraction form
    133,761.72/184,609.96 = 82,790.79/x
  3. Step 3: Cross multiply
    133,761.72x = 184,609.96 × 82,790.79
  4. Step 4: Simplify right side
    133,761.72x = 15,284,004,430.27
  5. Step 5: Solve for x
    x = 15,284,004,430.27/133,761.72
  6. Step 6: Final answer
    x = 114,262.92

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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.