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Finding the Fourth Proportional to 76,609.49, 115,021.87 and 39,196.40

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Solution

The fourth proportional to 76,609.49, 115,021.87 and 39,196.40 is: 58,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,609.49 : 115,021.87 = 39,196.40 : x
  2. Step 2: Convert to fraction form
    76,609.49/115,021.87 = 39,196.40/x
  3. Step 3: Cross multiply
    76,609.49x = 115,021.87 × 39,196.40
  4. Step 4: Simplify right side
    76,609.49x = 4,508,442,552.17
  5. Step 5: Solve for x
    x = 4,508,442,552.17/76,609.49
  6. Step 6: Final answer
    x = 58,849.67

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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.