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Finding the Fourth Proportional to 243,378, 365,067 and 77,166

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Solution

The fourth proportional to 243,378, 365,067 and 77,166 is: 115,749

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,378 : 365,067 = 77,166 : x
  2. Step 2: Convert to fraction form
    243,378/365,067 = 77,166/x
  3. Step 3: Cross multiply
    243,378x = 365,067 × 77,166
  4. Step 4: Simplify right side
    243,378x = 28,170,760,122
  5. Step 5: Solve for x
    x = 28,170,760,122/243,378
  6. Step 6: Final answer
    x = 115,749

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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.