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Finding the Fourth Proportional to 204,314.45, 306,559.80 and 77,992.63

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Solution

The fourth proportional to 204,314.45, 306,559.80 and 77,992.63 is: 117,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,314.45 : 306,559.80 = 77,992.63 : x
  2. Step 2: Convert to fraction form
    204,314.45/306,559.80 = 77,992.63/x
  3. Step 3: Cross multiply
    204,314.45x = 306,559.80 × 77,992.63
  4. Step 4: Simplify right side
    204,314.45x = 23,909,405,054.27
  5. Step 5: Solve for x
    x = 23,909,405,054.27/204,314.45
  6. Step 6: Final answer
    x = 117,022.58

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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.