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Finding the Fourth Proportional to 100,614.90, 138,847.73 and 54,674.14

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Solution

The fourth proportional to 100,614.90, 138,847.73 and 54,674.14 is: 75,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.90 : 138,847.73 = 54,674.14 : x
  2. Step 2: Convert to fraction form
    100,614.90/138,847.73 = 54,674.14/x
  3. Step 3: Cross multiply
    100,614.90x = 138,847.73 × 54,674.14
  4. Step 4: Simplify right side
    100,614.90x = 7,591,380,228.70
  5. Step 5: Solve for x
    x = 7,591,380,228.70/100,614.90
  6. Step 6: Final answer
    x = 75,449.86

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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.