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Finding the Fourth Proportional to 259,687.98, 389,296.80 and 101,874.06

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Solution

The fourth proportional to 259,687.98, 389,296.80 and 101,874.06 is: 152,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,687.98 : 389,296.80 = 101,874.06 : x
  2. Step 2: Convert to fraction form
    259,687.98/389,296.80 = 101,874.06/x
  3. Step 3: Cross multiply
    259,687.98x = 389,296.80 × 101,874.06
  4. Step 4: Simplify right side
    259,687.98x = 39,659,245,561.01
  5. Step 5: Solve for x
    x = 39,659,245,561.01/259,687.98
  6. Step 6: Final answer
    x = 152,718.83

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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.