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Finding the Fourth Proportional to 77,297.72, 115,713.16 and 69,905.66

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Solution

The fourth proportional to 77,297.72, 115,713.16 and 69,905.66 is: 104,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,297.72 : 115,713.16 = 69,905.66 : x
  2. Step 2: Convert to fraction form
    77,297.72/115,713.16 = 69,905.66/x
  3. Step 3: Cross multiply
    77,297.72x = 115,713.16 × 69,905.66
  4. Step 4: Simplify right side
    77,297.72x = 8,089,004,067.16
  5. Step 5: Solve for x
    x = 8,089,004,067.16/77,297.72
  6. Step 6: Final answer
    x = 104,647.39

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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.