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Finding the Fourth Proportional to 206,636.21, 309,954.32 and 81,977.21

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Solution

The fourth proportional to 206,636.21, 309,954.32 and 81,977.21 is: 122,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,636.21 : 309,954.32 = 81,977.21 : x
  2. Step 2: Convert to fraction form
    206,636.21/309,954.32 = 81,977.21/x
  3. Step 3: Cross multiply
    206,636.21x = 309,954.32 × 81,977.21
  4. Step 4: Simplify right side
    206,636.21x = 25,409,189,971.16
  5. Step 5: Solve for x
    x = 25,409,189,971.16/206,636.21
  6. Step 6: Final answer
    x = 122,965.82

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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.