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Finding the Fourth Proportional to 259,626.90, 389,476.80 and 82,115.40

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Solution

The fourth proportional to 259,626.90, 389,476.80 and 82,115.40 is: 123,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,626.90 : 389,476.80 = 82,115.40 : x
  2. Step 2: Convert to fraction form
    259,626.90/389,476.80 = 82,115.40/x
  3. Step 3: Cross multiply
    259,626.90x = 389,476.80 × 82,115.40
  4. Step 4: Simplify right side
    259,626.90x = 31,982,043,222.72
  5. Step 5: Solve for x
    x = 31,982,043,222.72/259,626.90
  6. Step 6: Final answer
    x = 123,184.63

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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.