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Finding the Fourth Proportional to 228,813.72, 315,575.72 and 161,055

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Solution

The fourth proportional to 228,813.72, 315,575.72 and 161,055 is: 222,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,813.72 : 315,575.72 = 161,055 : x
  2. Step 2: Convert to fraction form
    228,813.72/315,575.72 = 161,055/x
  3. Step 3: Cross multiply
    228,813.72x = 315,575.72 × 161,055
  4. Step 4: Simplify right side
    228,813.72x = 50,825,047,584.60
  5. Step 5: Solve for x
    x = 50,825,047,584.60/228,813.72
  6. Step 6: Final answer
    x = 222,124.13

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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.