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Finding the Fourth Proportional to 200,491.52, 300,716.09 and 105,683.71

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Solution

The fourth proportional to 200,491.52, 300,716.09 and 105,683.71 is: 158,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,491.52 : 300,716.09 = 105,683.71 : x
  2. Step 2: Convert to fraction form
    200,491.52/300,716.09 = 105,683.71/x
  3. Step 3: Cross multiply
    200,491.52x = 300,716.09 × 105,683.71
  4. Step 4: Simplify right side
    200,491.52x = 31,780,790,808.52
  5. Step 5: Solve for x
    x = 31,780,790,808.52/200,491.52
  6. Step 6: Final answer
    x = 158,514.39

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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.