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Finding the Fourth Proportional to 273,115.89, 409,673.85 and 86,141.97

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Solution

The fourth proportional to 273,115.89, 409,673.85 and 86,141.97 is: 129,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,115.89 : 409,673.85 = 86,141.97 : x
  2. Step 2: Convert to fraction form
    273,115.89/409,673.85 = 86,141.97/x
  3. Step 3: Cross multiply
    273,115.89x = 409,673.85 × 86,141.97
  4. Step 4: Simplify right side
    273,115.89x = 35,290,112,496.48
  5. Step 5: Solve for x
    x = 35,290,112,496.48/273,115.89
  6. Step 6: Final answer
    x = 129,212.96

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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.