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Finding the Fourth Proportional to 273,187.17, 409,780.76 and 86,213.25

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Solution

The fourth proportional to 273,187.17, 409,780.76 and 86,213.25 is: 129,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,187.17 : 409,780.76 = 86,213.25 : x
  2. Step 2: Convert to fraction form
    273,187.17/409,780.76 = 86,213.25/x
  3. Step 3: Cross multiply
    273,187.17x = 409,780.76 × 86,213.25
  4. Step 4: Simplify right side
    273,187.17x = 35,328,530,676.00
  5. Step 5: Solve for x
    x = 35,328,530,676.00/273,187.17
  6. Step 6: Final answer
    x = 129,319.88

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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.