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Finding the Fourth Proportional to 206,443.60, 309,665.40 and 66,216.40

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Solution

The fourth proportional to 206,443.60, 309,665.40 and 66,216.40 is: 99,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,443.60 : 309,665.40 = 66,216.40 : x
  2. Step 2: Convert to fraction form
    206,443.60/309,665.40 = 66,216.40/x
  3. Step 3: Cross multiply
    206,443.60x = 309,665.40 × 66,216.40
  4. Step 4: Simplify right side
    206,443.60x = 20,504,927,992.56
  5. Step 5: Solve for x
    x = 20,504,927,992.56/206,443.60
  6. Step 6: Final answer
    x = 99,324.60

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1.5x scale

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.