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Finding the Fourth Proportional to 203,641.48, 305,506.38 and 85,251.88

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Solution

The fourth proportional to 203,641.48, 305,506.38 and 85,251.88 is: 127,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,641.48 : 305,506.38 = 85,251.88 : x
  2. Step 2: Convert to fraction form
    203,641.48/305,506.38 = 85,251.88/x
  3. Step 3: Cross multiply
    203,641.48x = 305,506.38 × 85,251.88
  4. Step 4: Simplify right side
    203,641.48x = 26,044,993,246.99
  5. Step 5: Solve for x
    x = 26,044,993,246.99/203,641.48
  6. Step 6: Final answer
    x = 127,896.31

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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.