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Finding the Fourth Proportional to 122,765.52, 184,187.20 and 43,878

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Solution

The fourth proportional to 122,765.52, 184,187.20 and 43,878 is: 65,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,765.52 : 184,187.20 = 43,878 : x
  2. Step 2: Convert to fraction form
    122,765.52/184,187.20 = 43,878/x
  3. Step 3: Cross multiply
    122,765.52x = 184,187.20 × 43,878
  4. Step 4: Simplify right side
    122,765.52x = 8,081,765,961.60
  5. Step 5: Solve for x
    x = 8,081,765,961.60/122,765.52
  6. Step 6: Final answer
    x = 65,830.91

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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.