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Finding the Fourth Proportional to 100,119.16, 138,163.20 and 54,796.96

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Solution

The fourth proportional to 100,119.16, 138,163.20 and 54,796.96 is: 75,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,119.16 : 138,163.20 = 54,796.96 : x
  2. Step 2: Convert to fraction form
    100,119.16/138,163.20 = 54,796.96/x
  3. Step 3: Cross multiply
    100,119.16x = 138,163.20 × 54,796.96
  4. Step 4: Simplify right side
    100,119.16x = 7,570,923,343.87
  5. Step 5: Solve for x
    x = 7,570,923,343.87/100,119.16
  6. Step 6: Final answer
    x = 75,619.13

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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.