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Finding the Fourth Proportional to 201,708.20, 301,784.70 and 131,724.20

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Solution

The fourth proportional to 201,708.20, 301,784.70 and 131,724.20 is: 197,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,708.20 : 301,784.70 = 131,724.20 : x
  2. Step 2: Convert to fraction form
    201,708.20/301,784.70 = 131,724.20/x
  3. Step 3: Cross multiply
    201,708.20x = 301,784.70 × 131,724.20
  4. Step 4: Simplify right side
    201,708.20x = 39,752,348,179.74
  5. Step 5: Solve for x
    x = 39,752,348,179.74/201,708.20
  6. Step 6: Final answer
    x = 197,078.49

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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.