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Finding the Fourth Proportional to 122,751.12, 184,067.60 and 72,837.60

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Solution

The fourth proportional to 122,751.12, 184,067.60 and 72,837.60 is: 109,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,751.12 : 184,067.60 = 72,837.60 : x
  2. Step 2: Convert to fraction form
    122,751.12/184,067.60 = 72,837.60/x
  3. Step 3: Cross multiply
    122,751.12x = 184,067.60 × 72,837.60
  4. Step 4: Simplify right side
    122,751.12x = 13,407,042,221.76
  5. Step 5: Solve for x
    x = 13,407,042,221.76/122,751.12
  6. Step 6: Final answer
    x = 109,221.34

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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.