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Finding the Fourth Proportional to 122,958.60, 184,364 and 83,395.78

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Solution

The fourth proportional to 122,958.60, 184,364 and 83,395.78 is: 125,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,958.60 : 184,364 = 83,395.78 : x
  2. Step 2: Convert to fraction form
    122,958.60/184,364 = 83,395.78/x
  3. Step 3: Cross multiply
    122,958.60x = 184,364 × 83,395.78
  4. Step 4: Simplify right side
    122,958.60x = 15,375,179,583.92
  5. Step 5: Solve for x
    x = 15,375,179,583.92/122,958.60
  6. Step 6: Final answer
    x = 125,043.55

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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.