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Finding the Fourth Proportional to 259,501.65, 389,218.99 and 82,026.60

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Solution

The fourth proportional to 259,501.65, 389,218.99 and 82,026.60 is: 123,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,501.65 : 389,218.99 = 82,026.60 : x
  2. Step 2: Convert to fraction form
    259,501.65/389,218.99 = 82,026.60/x
  3. Step 3: Cross multiply
    259,501.65x = 389,218.99 × 82,026.60
  4. Step 4: Simplify right side
    259,501.65x = 31,926,308,048.91
  5. Step 5: Solve for x
    x = 31,926,308,048.91/259,501.65
  6. Step 6: Final answer
    x = 123,029.31

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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.