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Finding the Fourth Proportional to 149,568, 206,403.84 and 82,500

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Solution

The fourth proportional to 149,568, 206,403.84 and 82,500 is: 113,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568 : 206,403.84 = 82,500 : x
  2. Step 2: Convert to fraction form
    149,568/206,403.84 = 82,500/x
  3. Step 3: Cross multiply
    149,568x = 206,403.84 × 82,500
  4. Step 4: Simplify right side
    149,568x = 17,028,316,800
  5. Step 5: Solve for x
    x = 17,028,316,800/149,568
  6. Step 6: Final answer
    x = 113,850

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.