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Finding the Fourth Proportional to 204,588.72, 306,955.44 and 71,505.72

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Solution

The fourth proportional to 204,588.72, 306,955.44 and 71,505.72 is: 107,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,588.72 : 306,955.44 = 71,505.72 : x
  2. Step 2: Convert to fraction form
    204,588.72/306,955.44 = 71,505.72/x
  3. Step 3: Cross multiply
    204,588.72x = 306,955.44 × 71,505.72
  4. Step 4: Simplify right side
    204,588.72x = 21,949,069,745.12
  5. Step 5: Solve for x
    x = 21,949,069,745.12/204,588.72
  6. Step 6: Final answer
    x = 107,283.87

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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.