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Finding the Fourth Proportional to 115,991.20, 160,078.98 and 65,003.68

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Solution

The fourth proportional to 115,991.20, 160,078.98 and 65,003.68 is: 89,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,991.20 : 160,078.98 = 65,003.68 : x
  2. Step 2: Convert to fraction form
    115,991.20/160,078.98 = 65,003.68/x
  3. Step 3: Cross multiply
    115,991.20x = 160,078.98 × 65,003.68
  4. Step 4: Simplify right side
    115,991.20x = 10,405,722,790.65
  5. Step 5: Solve for x
    x = 10,405,722,790.65/115,991.20
  6. Step 6: Final answer
    x = 89,711.31

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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.