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Finding the Fourth Proportional to 259,652, 389,439.01 and 82,135.94

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Solution

The fourth proportional to 259,652, 389,439.01 and 82,135.94 is: 123,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,652 : 389,439.01 = 82,135.94 : x
  2. Step 2: Convert to fraction form
    259,652/389,439.01 = 82,135.94/x
  3. Step 3: Cross multiply
    259,652x = 389,439.01 × 82,135.94
  4. Step 4: Simplify right side
    259,652x = 31,986,939,159.02
  5. Step 5: Solve for x
    x = 31,986,939,159.02/259,652
  6. Step 6: Final answer
    x = 123,191.58

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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.