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Finding the Fourth Proportional to 122,872.50, 184,338 and 39,766.50

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Solution

The fourth proportional to 122,872.50, 184,338 and 39,766.50 is: 59,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,872.50 : 184,338 = 39,766.50 : x
  2. Step 2: Convert to fraction form
    122,872.50/184,338 = 39,766.50/x
  3. Step 3: Cross multiply
    122,872.50x = 184,338 × 39,766.50
  4. Step 4: Simplify right side
    122,872.50x = 7,330,477,077
  5. Step 5: Solve for x
    x = 7,330,477,077/122,872.50
  6. Step 6: Final answer
    x = 59,659.22

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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.