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Finding the Fourth Proportional to 98,738.40, 148,107.60 and 82,408.80

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Solution

The fourth proportional to 98,738.40, 148,107.60 and 82,408.80 is: 123,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,738.40 : 148,107.60 = 82,408.80 : x
  2. Step 2: Convert to fraction form
    98,738.40/148,107.60 = 82,408.80/x
  3. Step 3: Cross multiply
    98,738.40x = 148,107.60 × 82,408.80
  4. Step 4: Simplify right side
    98,738.40x = 12,205,369,586.88
  5. Step 5: Solve for x
    x = 12,205,369,586.88/98,738.40
  6. Step 6: Final answer
    x = 123,613.20

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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.