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Finding the Fourth Proportional to 259,299.26, 388,945.03 and 158,127.05

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Solution

The fourth proportional to 259,299.26, 388,945.03 and 158,127.05 is: 237,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,299.26 : 388,945.03 = 158,127.05 : x
  2. Step 2: Convert to fraction form
    259,299.26/388,945.03 = 158,127.05/x
  3. Step 3: Cross multiply
    259,299.26x = 388,945.03 × 158,127.05
  4. Step 4: Simplify right side
    259,299.26x = 61,502,728,656.65
  5. Step 5: Solve for x
    x = 61,502,728,656.65/259,299.26
  6. Step 6: Final answer
    x = 237,188.21

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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.