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Finding the Fourth Proportional to 105,990.70, 146,324.02 and 81,738.62

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Solution

The fourth proportional to 105,990.70, 146,324.02 and 81,738.62 is: 112,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,990.70 : 146,324.02 = 81,738.62 : x
  2. Step 2: Convert to fraction form
    105,990.70/146,324.02 = 81,738.62/x
  3. Step 3: Cross multiply
    105,990.70x = 146,324.02 × 81,738.62
  4. Step 4: Simplify right side
    105,990.70x = 11,960,323,467.65
  5. Step 5: Solve for x
    x = 11,960,323,467.65/105,990.70
  6. Step 6: Final answer
    x = 112,843.14

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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.