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Finding the Fourth Proportional to 203,083.99, 304,719.31 and 76,768.10

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Solution

The fourth proportional to 203,083.99, 304,719.31 and 76,768.10 is: 115,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,083.99 : 304,719.31 = 76,768.10 : x
  2. Step 2: Convert to fraction form
    203,083.99/304,719.31 = 76,768.10/x
  3. Step 3: Cross multiply
    203,083.99x = 304,719.31 × 76,768.10
  4. Step 4: Simplify right side
    203,083.99x = 23,392,722,462.01
  5. Step 5: Solve for x
    x = 23,392,722,462.01/203,083.99
  6. Step 6: Final answer
    x = 115,187.43

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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.