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Finding the Fourth Proportional to 204,168.96, 306,392.88 and 71,047.92

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Solution

The fourth proportional to 204,168.96, 306,392.88 and 71,047.92 is: 106,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,168.96 : 306,392.88 = 71,047.92 : x
  2. Step 2: Convert to fraction form
    204,168.96/306,392.88 = 71,047.92/x
  3. Step 3: Cross multiply
    204,168.96x = 306,392.88 × 71,047.92
  4. Step 4: Simplify right side
    204,168.96x = 21,768,576,826.81
  5. Step 5: Solve for x
    x = 21,768,576,826.81/204,168.96
  6. Step 6: Final answer
    x = 106,620.40

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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.