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Finding the Fourth Proportional to 203,039.88, 304,558.86 and 135,429

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Solution

The fourth proportional to 203,039.88, 304,558.86 and 135,429 is: 203,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,039.88 : 304,558.86 = 135,429 : x
  2. Step 2: Convert to fraction form
    203,039.88/304,558.86 = 135,429/x
  3. Step 3: Cross multiply
    203,039.88x = 304,558.86 × 135,429
  4. Step 4: Simplify right side
    203,039.88x = 41,246,101,850.94
  5. Step 5: Solve for x
    x = 41,246,101,850.94/203,039.88
  6. Step 6: Final answer
    x = 203,142.86

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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.