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Finding the Fourth Proportional to 275,773.64, 380,508.54 and 161,000.16

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Solution

The fourth proportional to 275,773.64, 380,508.54 and 161,000.16 is: 222,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,773.64 : 380,508.54 = 161,000.16 : x
  2. Step 2: Convert to fraction form
    275,773.64/380,508.54 = 161,000.16/x
  3. Step 3: Cross multiply
    275,773.64x = 380,508.54 × 161,000.16
  4. Step 4: Simplify right side
    275,773.64x = 61,261,935,821.37
  5. Step 5: Solve for x
    x = 61,261,935,821.37/275,773.64
  6. Step 6: Final answer
    x = 222,145.73

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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.