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Finding the Fourth Proportional to 119,163.45, 164,448.44 and 65,449.65

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Solution

The fourth proportional to 119,163.45, 164,448.44 and 65,449.65 is: 90,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,163.45 : 164,448.44 = 65,449.65 : x
  2. Step 2: Convert to fraction form
    119,163.45/164,448.44 = 65,449.65/x
  3. Step 3: Cross multiply
    119,163.45x = 164,448.44 × 65,449.65
  4. Step 4: Simplify right side
    119,163.45x = 10,763,092,841.05
  5. Step 5: Solve for x
    x = 10,763,092,841.05/119,163.45
  6. Step 6: Final answer
    x = 90,322.10

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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.