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Finding the Fourth Proportional to 259,970.68, 389,969.85 and 82,491.58

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Solution

The fourth proportional to 259,970.68, 389,969.85 and 82,491.58 is: 123,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,970.68 : 389,969.85 = 82,491.58 : x
  2. Step 2: Convert to fraction form
    259,970.68/389,969.85 = 82,491.58/x
  3. Step 3: Cross multiply
    259,970.68x = 389,969.85 × 82,491.58
  4. Step 4: Simplify right side
    259,970.68x = 32,169,229,078.86
  5. Step 5: Solve for x
    x = 32,169,229,078.86/259,970.68
  6. Step 6: Final answer
    x = 123,741.76

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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.