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Finding the Fourth Proportional to 259,563.72, 389,343.12 and 82,070.76

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Solution

The fourth proportional to 259,563.72, 389,343.12 and 82,070.76 is: 123,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,563.72 : 389,343.12 = 82,070.76 : x
  2. Step 2: Convert to fraction form
    259,563.72/389,343.12 = 82,070.76/x
  3. Step 3: Cross multiply
    259,563.72x = 389,343.12 × 82,070.76
  4. Step 4: Simplify right side
    259,563.72x = 31,953,685,759.17
  5. Step 5: Solve for x
    x = 31,953,685,759.17/259,563.72
  6. Step 6: Final answer
    x = 123,105.36

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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.