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Finding the Fourth Proportional to 259,493, 389,237.18 and 82,000.04

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Solution

The fourth proportional to 259,493, 389,237.18 and 82,000.04 is: 122,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,493 : 389,237.18 = 82,000.04 : x
  2. Step 2: Convert to fraction form
    259,493/389,237.18 = 82,000.04/x
  3. Step 3: Cross multiply
    259,493x = 389,237.18 × 82,000.04
  4. Step 4: Simplify right side
    259,493x = 31,917,464,329.49
  5. Step 5: Solve for x
    x = 31,917,464,329.49/259,493
  6. Step 6: Final answer
    x = 122,999.33

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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.