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Finding the Fourth Proportional to 259,663.52, 389,534.64 and 82,111.52

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Solution

The fourth proportional to 259,663.52, 389,534.64 and 82,111.52 is: 123,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,663.52 : 389,534.64 = 82,111.52 : x
  2. Step 2: Convert to fraction form
    259,663.52/389,534.64 = 82,111.52/x
  3. Step 3: Cross multiply
    259,663.52x = 389,534.64 × 82,111.52
  4. Step 4: Simplify right side
    259,663.52x = 31,985,281,383.05
  5. Step 5: Solve for x
    x = 31,985,281,383.05/259,663.52
  6. Step 6: Final answer
    x = 123,179.73

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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.