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Finding the Fourth Proportional to 204,068.76, 306,102.66 and 54,309

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Solution

The fourth proportional to 204,068.76, 306,102.66 and 54,309 is: 81,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,068.76 : 306,102.66 = 54,309 : x
  2. Step 2: Convert to fraction form
    204,068.76/306,102.66 = 54,309/x
  3. Step 3: Cross multiply
    204,068.76x = 306,102.66 × 54,309
  4. Step 4: Simplify right side
    204,068.76x = 16,624,129,361.94
  5. Step 5: Solve for x
    x = 16,624,129,361.94/204,068.76
  6. Step 6: Final answer
    x = 81,463.37

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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.