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Finding the Fourth Proportional to 122,783.60, 184,067.40 and 83,212.40

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Solution

The fourth proportional to 122,783.60, 184,067.40 and 83,212.40 is: 124,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,783.60 : 184,067.40 = 83,212.40 : x
  2. Step 2: Convert to fraction form
    122,783.60/184,067.40 = 83,212.40/x
  3. Step 3: Cross multiply
    122,783.60x = 184,067.40 × 83,212.40
  4. Step 4: Simplify right side
    122,783.60x = 15,316,690,115.76
  5. Step 5: Solve for x
    x = 15,316,690,115.76/122,783.60
  6. Step 6: Final answer
    x = 124,745.41

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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.