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Finding the Fourth Proportional to 76,908.10, 107,408.90 and 76,908.10

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Solution

The fourth proportional to 76,908.10, 107,408.90 and 76,908.10 is: 107,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,908.10 : 107,408.90 = 76,908.10 : x
  2. Step 2: Convert to fraction form
    76,908.10/107,408.90 = 76,908.10/x
  3. Step 3: Cross multiply
    76,908.10x = 107,408.90 × 76,908.10
  4. Step 4: Simplify right side
    76,908.10x = 8,260,614,422.09
  5. Step 5: Solve for x
    x = 8,260,614,422.09/76,908.10
  6. Step 6: Final answer
    x = 107,408.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.