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Finding the Fourth Proportional to 190,074, 262,291.20 and 105,186

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Solution

The fourth proportional to 190,074, 262,291.20 and 105,186 is: 145,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,074 : 262,291.20 = 105,186 : x
  2. Step 2: Convert to fraction form
    190,074/262,291.20 = 105,186/x
  3. Step 3: Cross multiply
    190,074x = 262,291.20 × 105,186
  4. Step 4: Simplify right side
    190,074x = 27,589,362,163.20
  5. Step 5: Solve for x
    x = 27,589,362,163.20/190,074
  6. Step 6: Final answer
    x = 145,150.64

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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.