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Finding the Fourth Proportional to 214,621.34, 321,980.61 and 114,728.90

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Solution

The fourth proportional to 214,621.34, 321,980.61 and 114,728.90 is: 172,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,621.34 : 321,980.61 = 114,728.90 : x
  2. Step 2: Convert to fraction form
    214,621.34/321,980.61 = 114,728.90/x
  3. Step 3: Cross multiply
    214,621.34x = 321,980.61 × 114,728.90
  4. Step 4: Simplify right side
    214,621.34x = 36,940,481,206.63
  5. Step 5: Solve for x
    x = 36,940,481,206.63/214,621.34
  6. Step 6: Final answer
    x = 172,119.33

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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.