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Finding the Fourth Proportional to 259,611.90, 389,454.30 and 82,100.40

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Solution

The fourth proportional to 259,611.90, 389,454.30 and 82,100.40 is: 123,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,611.90 : 389,454.30 = 82,100.40 : x
  2. Step 2: Convert to fraction form
    259,611.90/389,454.30 = 82,100.40/x
  3. Step 3: Cross multiply
    259,611.90x = 389,454.30 × 82,100.40
  4. Step 4: Simplify right side
    259,611.90x = 31,974,353,811.72
  5. Step 5: Solve for x
    x = 31,974,353,811.72/259,611.90
  6. Step 6: Final answer
    x = 123,162.13

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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.