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Finding the Fourth Proportional to 135,456.84, 203,204.31 and 56,553.12

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Solution

The fourth proportional to 135,456.84, 203,204.31 and 56,553.12 is: 84,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456.84 : 203,204.31 = 56,553.12 : x
  2. Step 2: Convert to fraction form
    135,456.84/203,204.31 = 56,553.12/x
  3. Step 3: Cross multiply
    135,456.84x = 203,204.31 × 56,553.12
  4. Step 4: Simplify right side
    135,456.84x = 11,491,837,727.95
  5. Step 5: Solve for x
    x = 11,491,837,727.95/135,456.84
  6. Step 6: Final answer
    x = 84,837.63

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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.