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Finding the Fourth Proportional to 275,680.96, 413,578.81 and 86,133.67

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Solution

The fourth proportional to 275,680.96, 413,578.81 and 86,133.67 is: 129,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,680.96 : 413,578.81 = 86,133.67 : x
  2. Step 2: Convert to fraction form
    275,680.96/413,578.81 = 86,133.67/x
  3. Step 3: Cross multiply
    275,680.96x = 413,578.81 × 86,133.67
  4. Step 4: Simplify right side
    275,680.96x = 35,623,060,739.53
  5. Step 5: Solve for x
    x = 35,623,060,739.53/275,680.96
  6. Step 6: Final answer
    x = 129,218.43

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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.