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Finding the Fourth Proportional to 122,546.40, 183,819.60 and 111,465.60

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Solution

The fourth proportional to 122,546.40, 183,819.60 and 111,465.60 is: 167,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,546.40 : 183,819.60 = 111,465.60 : x
  2. Step 2: Convert to fraction form
    122,546.40/183,819.60 = 111,465.60/x
  3. Step 3: Cross multiply
    122,546.40x = 183,819.60 × 111,465.60
  4. Step 4: Simplify right side
    122,546.40x = 20,489,562,005.76
  5. Step 5: Solve for x
    x = 20,489,562,005.76/122,546.40
  6. Step 6: Final answer
    x = 167,198.40

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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.