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Finding the Fourth Proportional to 122,213.20, 183,465.60 and 68,947.60

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Solution

The fourth proportional to 122,213.20, 183,465.60 and 68,947.60 is: 103,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,213.20 : 183,465.60 = 68,947.60 : x
  2. Step 2: Convert to fraction form
    122,213.20/183,465.60 = 68,947.60/x
  3. Step 3: Cross multiply
    122,213.20x = 183,465.60 × 68,947.60
  4. Step 4: Simplify right side
    122,213.20x = 12,649,512,802.56
  5. Step 5: Solve for x
    x = 12,649,512,802.56/122,213.20
  6. Step 6: Final answer
    x = 103,503.65

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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.