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Finding the Fourth Proportional to 275,933.50, 380,702.65 and 161,129.33

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Solution

The fourth proportional to 275,933.50, 380,702.65 and 161,129.33 is: 222,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,933.50 : 380,702.65 = 161,129.33 : x
  2. Step 2: Convert to fraction form
    275,933.50/380,702.65 = 161,129.33/x
  3. Step 3: Cross multiply
    275,933.50x = 380,702.65 × 161,129.33
  4. Step 4: Simplify right side
    275,933.50x = 61,342,360,617.39
  5. Step 5: Solve for x
    x = 61,342,360,617.39/275,933.50
  6. Step 6: Final answer
    x = 222,308.50

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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.