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Finding the Fourth Proportional to 200,491.77, 300,716.48 and 105,683.96

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Solution

The fourth proportional to 200,491.77, 300,716.48 and 105,683.96 is: 158,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,491.77 : 300,716.48 = 105,683.96 : x
  2. Step 2: Convert to fraction form
    200,491.77/300,716.48 = 105,683.96/x
  3. Step 3: Cross multiply
    200,491.77x = 300,716.48 × 105,683.96
  4. Step 4: Simplify right side
    200,491.77x = 31,780,906,411.66
  5. Step 5: Solve for x
    x = 31,780,906,411.66/200,491.77
  6. Step 6: Final answer
    x = 158,514.77

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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.