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Finding the Fourth Proportional to 73,181.16, 109,771.74 and 17,777

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Solution

The fourth proportional to 73,181.16, 109,771.74 and 17,777 is: 26,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,181.16 : 109,771.74 = 17,777 : x
  2. Step 2: Convert to fraction form
    73,181.16/109,771.74 = 17,777/x
  3. Step 3: Cross multiply
    73,181.16x = 109,771.74 × 17,777
  4. Step 4: Simplify right side
    73,181.16x = 1,951,412,221.98
  5. Step 5: Solve for x
    x = 1,951,412,221.98/73,181.16
  6. Step 6: Final answer
    x = 26,665.50

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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.