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Finding the Fourth Proportional to 259,675.72, 389,474.53 and 82,159.67

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Solution

The fourth proportional to 259,675.72, 389,474.53 and 82,159.67 is: 123,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,675.72 : 389,474.53 = 82,159.67 : x
  2. Step 2: Convert to fraction form
    259,675.72/389,474.53 = 82,159.67/x
  3. Step 3: Cross multiply
    259,675.72x = 389,474.53 × 82,159.67
  4. Step 4: Simplify right side
    259,675.72x = 31,999,097,435.70
  5. Step 5: Solve for x
    x = 31,999,097,435.70/259,675.72
  6. Step 6: Final answer
    x = 123,227.14

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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.