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Finding the Fourth Proportional to 80,940.51, 111,846.44 and 77,051.61

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Solution

The fourth proportional to 80,940.51, 111,846.44 and 77,051.61 is: 106,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,940.51 : 111,846.44 = 77,051.61 : x
  2. Step 2: Convert to fraction form
    80,940.51/111,846.44 = 77,051.61/x
  3. Step 3: Cross multiply
    80,940.51x = 111,846.44 × 77,051.61
  4. Step 4: Simplify right side
    80,940.51x = 8,617,947,889.51
  5. Step 5: Solve for x
    x = 8,617,947,889.51/80,940.51
  6. Step 6: Final answer
    x = 106,472.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.