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Finding the Fourth Proportional to 259,221.52, 388,795.36 and 81,705.45

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Solution

The fourth proportional to 259,221.52, 388,795.36 and 81,705.45 is: 122,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,221.52 : 388,795.36 = 81,705.45 : x
  2. Step 2: Convert to fraction form
    259,221.52/388,795.36 = 81,705.45/x
  3. Step 3: Cross multiply
    259,221.52x = 388,795.36 × 81,705.45
  4. Step 4: Simplify right side
    259,221.52x = 31,766,699,846.71
  5. Step 5: Solve for x
    x = 31,766,699,846.71/259,221.52
  6. Step 6: Final answer
    x = 122,546.54

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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.