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Finding the Fourth Proportional to 81,405.60, 122,108.40 and 67,408.80

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Solution

The fourth proportional to 81,405.60, 122,108.40 and 67,408.80 is: 101,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.60 : 122,108.40 = 67,408.80 : x
  2. Step 2: Convert to fraction form
    81,405.60/122,108.40 = 67,408.80/x
  3. Step 3: Cross multiply
    81,405.60x = 122,108.40 × 67,408.80
  4. Step 4: Simplify right side
    81,405.60x = 8,231,180,713.92
  5. Step 5: Solve for x
    x = 8,231,180,713.92/81,405.60
  6. Step 6: Final answer
    x = 101,113.20

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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.