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Finding the Fourth Proportional to 115,098.87, 158,844.44 and 69,778.77

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Solution

The fourth proportional to 115,098.87, 158,844.44 and 69,778.77 is: 96,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,098.87 : 158,844.44 = 69,778.77 : x
  2. Step 2: Convert to fraction form
    115,098.87/158,844.44 = 69,778.77/x
  3. Step 3: Cross multiply
    115,098.87x = 158,844.44 × 69,778.77
  4. Step 4: Simplify right side
    115,098.87x = 11,083,969,295.65
  5. Step 5: Solve for x
    x = 11,083,969,295.65/115,098.87
  6. Step 6: Final answer
    x = 96,299.55

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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.