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Finding the Fourth Proportional to 131,408.80, 197,113.20 and 76,112.80

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Solution

The fourth proportional to 131,408.80, 197,113.20 and 76,112.80 is: 114,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,408.80 : 197,113.20 = 76,112.80 : x
  2. Step 2: Convert to fraction form
    131,408.80/197,113.20 = 76,112.80/x
  3. Step 3: Cross multiply
    131,408.80x = 197,113.20 × 76,112.80
  4. Step 4: Simplify right side
    131,408.80x = 15,002,837,568.96
  5. Step 5: Solve for x
    x = 15,002,837,568.96/131,408.80
  6. Step 6: Final answer
    x = 114,169.20

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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.