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Finding the Fourth Proportional to 203,934.52, 305,945.55 and 85,537.63

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Solution

The fourth proportional to 203,934.52, 305,945.55 and 85,537.63 is: 128,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,934.52 : 305,945.55 = 85,537.63 : x
  2. Step 2: Convert to fraction form
    203,934.52/305,945.55 = 85,537.63/x
  3. Step 3: Cross multiply
    203,934.52x = 305,945.55 × 85,537.63
  4. Step 4: Simplify right side
    203,934.52x = 26,169,856,491.18
  5. Step 5: Solve for x
    x = 26,169,856,491.18/203,934.52
  6. Step 6: Final answer
    x = 128,324.80

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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.