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Finding the Fourth Proportional to 204,059.70, 306,089.16 and 54,300

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Solution

The fourth proportional to 204,059.70, 306,089.16 and 54,300 is: 81,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,059.70 : 306,089.16 = 54,300 : x
  2. Step 2: Convert to fraction form
    204,059.70/306,089.16 = 54,300/x
  3. Step 3: Cross multiply
    204,059.70x = 306,089.16 × 54,300
  4. Step 4: Simplify right side
    204,059.70x = 16,620,641,388.00
  5. Step 5: Solve for x
    x = 16,620,641,388.00/204,059.70
  6. Step 6: Final answer
    x = 81,449.90

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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.