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Finding the Fourth Proportional to 259,007.50, 388,533.26 and 72,019

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Solution

The fourth proportional to 259,007.50, 388,533.26 and 72,019 is: 108,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,007.50 : 388,533.26 = 72,019 : x
  2. Step 2: Convert to fraction form
    259,007.50/388,533.26 = 72,019/x
  3. Step 3: Cross multiply
    259,007.50x = 388,533.26 × 72,019
  4. Step 4: Simplify right side
    259,007.50x = 27,981,776,491.85
  5. Step 5: Solve for x
    x = 27,981,776,491.85/259,007.50
  6. Step 6: Final answer
    x = 108,034.62

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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.