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Finding the Fourth Proportional to 261,286.63, 391,930.58 and 71,749.67

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Solution

The fourth proportional to 261,286.63, 391,930.58 and 71,749.67 is: 107,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,286.63 : 391,930.58 = 71,749.67 : x
  2. Step 2: Convert to fraction form
    261,286.63/391,930.58 = 71,749.67/x
  3. Step 3: Cross multiply
    261,286.63x = 391,930.58 × 71,749.67
  4. Step 4: Simplify right side
    261,286.63x = 28,120,887,997.63
  5. Step 5: Solve for x
    x = 28,120,887,997.63/261,286.63
  6. Step 6: Final answer
    x = 107,624.67

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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.