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Finding the Fourth Proportional to 321,178.92, 481,680.06 and 134,159.40

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Solution

The fourth proportional to 321,178.92, 481,680.06 and 134,159.40 is: 201,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,178.92 : 481,680.06 = 134,159.40 : x
  2. Step 2: Convert to fraction form
    321,178.92/481,680.06 = 134,159.40/x
  3. Step 3: Cross multiply
    321,178.92x = 481,680.06 × 134,159.40
  4. Step 4: Simplify right side
    321,178.92x = 64,621,907,841.56
  5. Step 5: Solve for x
    x = 64,621,907,841.56/321,178.92
  6. Step 6: Final answer
    x = 201,202.21

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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.