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Finding the Fourth Proportional to 119,163.74, 164,447.94 and 65,453.72

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Solution

The fourth proportional to 119,163.74, 164,447.94 and 65,453.72 is: 90,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,163.74 : 164,447.94 = 65,453.72 : x
  2. Step 2: Convert to fraction form
    119,163.74/164,447.94 = 65,453.72/x
  3. Step 3: Cross multiply
    119,163.74x = 164,447.94 × 65,453.72
  4. Step 4: Simplify right side
    119,163.74x = 10,763,729,419.34
  5. Step 5: Solve for x
    x = 10,763,729,419.34/119,163.74
  6. Step 6: Final answer
    x = 90,327.22

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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.