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Finding the Fourth Proportional to 80,859.05, 110,777.30 and 77,828.81

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Solution

The fourth proportional to 80,859.05, 110,777.30 and 77,828.81 is: 106,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,859.05 : 110,777.30 = 77,828.81 : x
  2. Step 2: Convert to fraction form
    80,859.05/110,777.30 = 77,828.81/x
  3. Step 3: Cross multiply
    80,859.05x = 110,777.30 × 77,828.81
  4. Step 4: Simplify right side
    80,859.05x = 8,621,664,782.84
  5. Step 5: Solve for x
    x = 8,621,664,782.84/80,859.05
  6. Step 6: Final answer
    x = 106,625.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.