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Finding the Fourth Proportional to 259,369.12, 388,907.76 and 81,843.04

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Solution

The fourth proportional to 259,369.12, 388,907.76 and 81,843.04 is: 122,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,369.12 : 388,907.76 = 81,843.04 : x
  2. Step 2: Convert to fraction form
    259,369.12/388,907.76 = 81,843.04/x
  3. Step 3: Cross multiply
    259,369.12x = 388,907.76 × 81,843.04
  4. Step 4: Simplify right side
    259,369.12x = 31,829,393,357.99
  5. Step 5: Solve for x
    x = 31,829,393,357.99/259,369.12
  6. Step 6: Final answer
    x = 122,718.52

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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.