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Finding the Fourth Proportional to 273,112.89, 409,669.34 and 86,138.97

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Solution

The fourth proportional to 273,112.89, 409,669.34 and 86,138.97 is: 129,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,112.89 : 409,669.34 = 86,138.97 : x
  2. Step 2: Convert to fraction form
    273,112.89/409,669.34 = 86,138.97/x
  3. Step 3: Cross multiply
    273,112.89x = 409,669.34 × 86,138.97
  4. Step 4: Simplify right side
    273,112.89x = 35,288,494,557.49
  5. Step 5: Solve for x
    x = 35,288,494,557.49/273,112.89
  6. Step 6: Final answer
    x = 129,208.46

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1.5x scale

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.