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Finding the Fourth Proportional to 115,923, 159,973.74 and 65,622

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Solution

The fourth proportional to 115,923, 159,973.74 and 65,622 is: 90,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,923 : 159,973.74 = 65,622 : x
  2. Step 2: Convert to fraction form
    115,923/159,973.74 = 65,622/x
  3. Step 3: Cross multiply
    115,923x = 159,973.74 × 65,622
  4. Step 4: Simplify right side
    115,923x = 10,497,796,766.28
  5. Step 5: Solve for x
    x = 10,497,796,766.28/115,923
  6. Step 6: Final answer
    x = 90,558.36

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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.