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Finding the Fourth Proportional to 137,144.80, 205,717.20 and 113,816.80

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Solution

The fourth proportional to 137,144.80, 205,717.20 and 113,816.80 is: 170,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,144.80 : 205,717.20 = 113,816.80 : x
  2. Step 2: Convert to fraction form
    137,144.80/205,717.20 = 113,816.80/x
  3. Step 3: Cross multiply
    137,144.80x = 205,717.20 × 113,816.80
  4. Step 4: Simplify right side
    137,144.80x = 23,414,073,408.96
  5. Step 5: Solve for x
    x = 23,414,073,408.96/137,144.80
  6. Step 6: Final answer
    x = 170,725.20

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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.