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Finding the Fourth Proportional to 204,069.76, 306,104.16 and 54,310

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Solution

The fourth proportional to 204,069.76, 306,104.16 and 54,310 is: 81,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,069.76 : 306,104.16 = 54,310 : x
  2. Step 2: Convert to fraction form
    204,069.76/306,104.16 = 54,310/x
  3. Step 3: Cross multiply
    204,069.76x = 306,104.16 × 54,310
  4. Step 4: Simplify right side
    204,069.76x = 16,624,516,929.60
  5. Step 5: Solve for x
    x = 16,624,516,929.60/204,069.76
  6. Step 6: Final answer
    x = 81,464.87

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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.