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Finding the Fourth Proportional to 133,640.96, 184,004.80 and 113,456

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Solution

The fourth proportional to 133,640.96, 184,004.80 and 113,456 is: 156,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,640.96 : 184,004.80 = 113,456 : x
  2. Step 2: Convert to fraction form
    133,640.96/184,004.80 = 113,456/x
  3. Step 3: Cross multiply
    133,640.96x = 184,004.80 × 113,456
  4. Step 4: Simplify right side
    133,640.96x = 20,876,448,588.80
  5. Step 5: Solve for x
    x = 20,876,448,588.80/133,640.96
  6. Step 6: Final answer
    x = 156,212.95

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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.