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Finding the Fourth Proportional to 259,502.65, 389,220.48 and 82,027.60

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Solution

The fourth proportional to 259,502.65, 389,220.48 and 82,027.60 is: 123,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,502.65 : 389,220.48 = 82,027.60 : x
  2. Step 2: Convert to fraction form
    259,502.65/389,220.48 = 82,027.60/x
  3. Step 3: Cross multiply
    259,502.65x = 389,220.48 × 82,027.60
  4. Step 4: Simplify right side
    259,502.65x = 31,926,821,845.25
  5. Step 5: Solve for x
    x = 31,926,821,845.25/259,502.65
  6. Step 6: Final answer
    x = 123,030.81

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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.