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Finding the Fourth Proportional to 204,458.64, 306,716.76 and 71,319.48

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Solution

The fourth proportional to 204,458.64, 306,716.76 and 71,319.48 is: 106,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,458.64 : 306,716.76 = 71,319.48 : x
  2. Step 2: Convert to fraction form
    204,458.64/306,716.76 = 71,319.48/x
  3. Step 3: Cross multiply
    204,458.64x = 306,716.76 × 71,319.48
  4. Step 4: Simplify right side
    204,458.64x = 21,874,879,830.48
  5. Step 5: Solve for x
    x = 21,874,879,830.48/204,458.64
  6. Step 6: Final answer
    x = 106,989.27

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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.