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Finding the Fourth Proportional to 204,115, 306,311.80 and 70,993.92

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Solution

The fourth proportional to 204,115, 306,311.80 and 70,993.92 is: 106,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,115 : 306,311.80 = 70,993.92 : x
  2. Step 2: Convert to fraction form
    204,115/306,311.80 = 70,993.92/x
  3. Step 3: Cross multiply
    204,115x = 306,311.80 × 70,993.92
  4. Step 4: Simplify right side
    204,115x = 21,746,275,424.26
  5. Step 5: Solve for x
    x = 21,746,275,424.26/204,115
  6. Step 6: Final answer
    x = 106,539.33

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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.