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Finding the Fourth Proportional to 272,736.68, 409,105.33 and 83,187.01

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Solution

The fourth proportional to 272,736.68, 409,105.33 and 83,187.01 is: 124,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,736.68 : 409,105.33 = 83,187.01 : x
  2. Step 2: Convert to fraction form
    272,736.68/409,105.33 = 83,187.01/x
  3. Step 3: Cross multiply
    272,736.68x = 409,105.33 × 83,187.01
  4. Step 4: Simplify right side
    272,736.68x = 34,032,247,947.03
  5. Step 5: Solve for x
    x = 34,032,247,947.03/272,736.68
  6. Step 6: Final answer
    x = 124,780.61

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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.