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Finding the Fourth Proportional to 206,966.24, 310,451.28 and 82,339.04

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Solution

The fourth proportional to 206,966.24, 310,451.28 and 82,339.04 is: 123,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,966.24 : 310,451.28 = 82,339.04 : x
  2. Step 2: Convert to fraction form
    206,966.24/310,451.28 = 82,339.04/x
  3. Step 3: Cross multiply
    206,966.24x = 310,451.28 × 82,339.04
  4. Step 4: Simplify right side
    206,966.24x = 25,562,260,361.97
  5. Step 5: Solve for x
    x = 25,562,260,361.97/206,966.24
  6. Step 6: Final answer
    x = 123,509.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.