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Finding the Fourth Proportional to 119,163.51, 164,447.70 and 65,450.79

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Solution

The fourth proportional to 119,163.51, 164,447.70 and 65,450.79 is: 90,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,163.51 : 164,447.70 = 65,450.79 : x
  2. Step 2: Convert to fraction form
    119,163.51/164,447.70 = 65,450.79/x
  3. Step 3: Cross multiply
    119,163.51x = 164,447.70 × 65,450.79
  4. Step 4: Simplify right side
    119,163.51x = 10,763,231,878.68
  5. Step 5: Solve for x
    x = 10,763,231,878.68/119,163.51
  6. Step 6: Final answer
    x = 90,323.22

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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.