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Finding the Fourth Proportional to 77,163.54, 115,749.83 and 29,778.88

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Solution

The fourth proportional to 77,163.54, 115,749.83 and 29,778.88 is: 44,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,163.54 : 115,749.83 = 29,778.88 : x
  2. Step 2: Convert to fraction form
    77,163.54/115,749.83 = 29,778.88/x
  3. Step 3: Cross multiply
    77,163.54x = 115,749.83 × 29,778.88
  4. Step 4: Simplify right side
    77,163.54x = 3,446,900,297.59
  5. Step 5: Solve for x
    x = 3,446,900,297.59/77,163.54
  6. Step 6: Final answer
    x = 44,670.06

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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.