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Finding the Fourth Proportional to 110,408.20, 165,660.90 and 51,213.40

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Solution

The fourth proportional to 110,408.20, 165,660.90 and 51,213.40 is: 76,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,408.20 : 165,660.90 = 51,213.40 : x
  2. Step 2: Convert to fraction form
    110,408.20/165,660.90 = 51,213.40/x
  3. Step 3: Cross multiply
    110,408.20x = 165,660.90 × 51,213.40
  4. Step 4: Simplify right side
    110,408.20x = 8,484,057,936.06
  5. Step 5: Solve for x
    x = 8,484,057,936.06/110,408.20
  6. Step 6: Final answer
    x = 76,842.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.