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Finding the Fourth Proportional to 273,144.42, 409,716.63 and 86,170.50

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Solution

The fourth proportional to 273,144.42, 409,716.63 and 86,170.50 is: 129,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,144.42 : 409,716.63 = 86,170.50 : x
  2. Step 2: Convert to fraction form
    273,144.42/409,716.63 = 86,170.50/x
  3. Step 3: Cross multiply
    273,144.42x = 409,716.63 × 86,170.50
  4. Step 4: Simplify right side
    273,144.42x = 35,305,486,865.42
  5. Step 5: Solve for x
    x = 35,305,486,865.42/273,144.42
  6. Step 6: Final answer
    x = 129,255.75

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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.