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Finding the Fourth Proportional to 204,866.28, 307,309.14 and 99,559.80

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Solution

The fourth proportional to 204,866.28, 307,309.14 and 99,559.80 is: 149,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,866.28 : 307,309.14 = 99,559.80 : x
  2. Step 2: Convert to fraction form
    204,866.28/307,309.14 = 99,559.80/x
  3. Step 3: Cross multiply
    204,866.28x = 307,309.14 × 99,559.80
  4. Step 4: Simplify right side
    204,866.28x = 30,595,636,516.57
  5. Step 5: Solve for x
    x = 30,595,636,516.57/204,866.28
  6. Step 6: Final answer
    x = 149,344.42

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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.