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Finding the Fourth Proportional to 259,021.44, 388,560 and 81,533.76

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Solution

The fourth proportional to 259,021.44, 388,560 and 81,533.76 is: 122,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,021.44 : 388,560 = 81,533.76 : x
  2. Step 2: Convert to fraction form
    259,021.44/388,560 = 81,533.76/x
  3. Step 3: Cross multiply
    259,021.44x = 388,560 × 81,533.76
  4. Step 4: Simplify right side
    259,021.44x = 31,680,757,785.60
  5. Step 5: Solve for x
    x = 31,680,757,785.60/259,021.44
  6. Step 6: Final answer
    x = 122,309.40

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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.