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Finding the Fourth Proportional to 259,973.96, 389,959.89 and 82,494.80

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Solution

The fourth proportional to 259,973.96, 389,959.89 and 82,494.80 is: 123,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,973.96 : 389,959.89 = 82,494.80 : x
  2. Step 2: Convert to fraction form
    259,973.96/389,959.89 = 82,494.80/x
  3. Step 3: Cross multiply
    259,973.96x = 389,959.89 × 82,494.80
  4. Step 4: Simplify right side
    259,973.96x = 32,169,664,530.29
  5. Step 5: Solve for x
    x = 32,169,664,530.29/259,973.96
  6. Step 6: Final answer
    x = 123,741.87

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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.