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Finding the Fourth Proportional to 204,100.40, 306,144.96 and 54,342

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Solution

The fourth proportional to 204,100.40, 306,144.96 and 54,342 is: 81,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,100.40 : 306,144.96 = 54,342 : x
  2. Step 2: Convert to fraction form
    204,100.40/306,144.96 = 54,342/x
  3. Step 3: Cross multiply
    204,100.40x = 306,144.96 × 54,342
  4. Step 4: Simplify right side
    204,100.40x = 16,636,529,416.32
  5. Step 5: Solve for x
    x = 16,636,529,416.32/204,100.40
  6. Step 6: Final answer
    x = 81,511.50

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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.