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Finding the Fourth Proportional to 201,744.20, 301,838.70 and 131,760.20

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Solution

The fourth proportional to 201,744.20, 301,838.70 and 131,760.20 is: 197,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744.20 : 301,838.70 = 131,760.20 : x
  2. Step 2: Convert to fraction form
    201,744.20/301,838.70 = 131,760.20/x
  3. Step 3: Cross multiply
    201,744.20x = 301,838.70 × 131,760.20
  4. Step 4: Simplify right side
    201,744.20x = 39,770,327,479.74
  5. Step 5: Solve for x
    x = 39,770,327,479.74/201,744.20
  6. Step 6: Final answer
    x = 197,132.45

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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.