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Finding the Fourth Proportional to 154,873.36, 213,845.64 and 119,006.80

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Solution

The fourth proportional to 154,873.36, 213,845.64 and 119,006.80 is: 164,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,873.36 : 213,845.64 = 119,006.80 : x
  2. Step 2: Convert to fraction form
    154,873.36/213,845.64 = 119,006.80/x
  3. Step 3: Cross multiply
    154,873.36x = 213,845.64 × 119,006.80
  4. Step 4: Simplify right side
    154,873.36x = 25,449,085,310.35
  5. Step 5: Solve for x
    x = 25,449,085,310.35/154,873.36
  6. Step 6: Final answer
    x = 164,321.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.