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Finding the Fourth Proportional to 275,206, 412,756.79 and 85,668.73

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Solution

The fourth proportional to 275,206, 412,756.79 and 85,668.73 is: 128,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,206 : 412,756.79 = 85,668.73 : x
  2. Step 2: Convert to fraction form
    275,206/412,756.79 = 85,668.73/x
  3. Step 3: Cross multiply
    275,206x = 412,756.79 × 85,668.73
  4. Step 4: Simplify right side
    275,206x = 35,360,349,998.18
  5. Step 5: Solve for x
    x = 35,360,349,998.18/275,206
  6. Step 6: Final answer
    x = 128,486.84

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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.