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Finding the Fourth Proportional to 223,115.28, 307,791 and 147,726.96

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Solution

The fourth proportional to 223,115.28, 307,791 and 147,726.96 is: 203,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,115.28 : 307,791 = 147,726.96 : x
  2. Step 2: Convert to fraction form
    223,115.28/307,791 = 147,726.96/x
  3. Step 3: Cross multiply
    223,115.28x = 307,791 × 147,726.96
  4. Step 4: Simplify right side
    223,115.28x = 45,469,028,745.36
  5. Step 5: Solve for x
    x = 45,469,028,745.36/223,115.28
  6. Step 6: Final answer
    x = 203,791.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.