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Finding the Fourth Proportional to 259,546.64, 389,317.53 and 82,053.67

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Solution

The fourth proportional to 259,546.64, 389,317.53 and 82,053.67 is: 123,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,546.64 : 389,317.53 = 82,053.67 : x
  2. Step 2: Convert to fraction form
    259,546.64/389,317.53 = 82,053.67/x
  3. Step 3: Cross multiply
    259,546.64x = 389,317.53 × 82,053.67
  4. Step 4: Simplify right side
    259,546.64x = 31,944,932,131.84
  5. Step 5: Solve for x
    x = 31,944,932,131.84/259,546.64
  6. Step 6: Final answer
    x = 123,079.74

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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.