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Finding the Fourth Proportional to 206,364.80, 309,028.80 and 164,892.80

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Solution

The fourth proportional to 206,364.80, 309,028.80 and 164,892.80 is: 246,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,364.80 : 309,028.80 = 164,892.80 : x
  2. Step 2: Convert to fraction form
    206,364.80/309,028.80 = 164,892.80/x
  3. Step 3: Cross multiply
    206,364.80x = 309,028.80 × 164,892.80
  4. Step 4: Simplify right side
    206,364.80x = 50,956,624,112.64
  5. Step 5: Solve for x
    x = 50,956,624,112.64/206,364.80
  6. Step 6: Final answer
    x = 246,924.98

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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.