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Finding the Fourth Proportional to 259,858.10, 389,752.52 and 82,383.05

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Solution

The fourth proportional to 259,858.10, 389,752.52 and 82,383.05 is: 123,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,858.10 : 389,752.52 = 82,383.05 : x
  2. Step 2: Convert to fraction form
    259,858.10/389,752.52 = 82,383.05/x
  3. Step 3: Cross multiply
    259,858.10x = 389,752.52 × 82,383.05
  4. Step 4: Simplify right side
    259,858.10x = 32,109,001,342.79
  5. Step 5: Solve for x
    x = 32,109,001,342.79/259,858.10
  6. Step 6: Final answer
    x = 123,563.60

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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.