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Finding the Fourth Proportional to 206,637.96, 309,956.94 and 81,978.96

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Solution

The fourth proportional to 206,637.96, 309,956.94 and 81,978.96 is: 122,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,637.96 : 309,956.94 = 81,978.96 : x
  2. Step 2: Convert to fraction form
    206,637.96/309,956.94 = 81,978.96/x
  3. Step 3: Cross multiply
    206,637.96x = 309,956.94 × 81,978.96
  4. Step 4: Simplify right side
    206,637.96x = 25,409,947,585.98
  5. Step 5: Solve for x
    x = 25,409,947,585.98/206,637.96
  6. Step 6: Final answer
    x = 122,968.44

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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.