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Finding the Fourth Proportional to 203,295.90, 304,896.81 and 76,950.78

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Solution

The fourth proportional to 203,295.90, 304,896.81 and 76,950.78 is: 115,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,295.90 : 304,896.81 = 76,950.78 : x
  2. Step 2: Convert to fraction form
    203,295.90/304,896.81 = 76,950.78/x
  3. Step 3: Cross multiply
    203,295.90x = 304,896.81 × 76,950.78
  4. Step 4: Simplify right side
    203,295.90x = 23,462,047,349.01
  5. Step 5: Solve for x
    x = 23,462,047,349.01/203,295.90
  6. Step 6: Final answer
    x = 115,408.36

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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.