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Finding the Fourth Proportional to 259,663.22, 389,455.84 and 82,147.16

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Solution

The fourth proportional to 259,663.22, 389,455.84 and 82,147.16 is: 123,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,663.22 : 389,455.84 = 82,147.16 : x
  2. Step 2: Convert to fraction form
    259,663.22/389,455.84 = 82,147.16/x
  3. Step 3: Cross multiply
    259,663.22x = 389,455.84 × 82,147.16
  4. Step 4: Simplify right side
    259,663.22x = 31,992,688,843.40
  5. Step 5: Solve for x
    x = 31,992,688,843.40/259,663.22
  6. Step 6: Final answer
    x = 123,208.40

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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.