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Finding the Fourth Proportional to 208,297.85, 312,945.23 and 133,564.41

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Solution

The fourth proportional to 208,297.85, 312,945.23 and 133,564.41 is: 200,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,297.85 : 312,945.23 = 133,564.41 : x
  2. Step 2: Convert to fraction form
    208,297.85/312,945.23 = 133,564.41/x
  3. Step 3: Cross multiply
    208,297.85x = 312,945.23 × 133,564.41
  4. Step 4: Simplify right side
    208,297.85x = 41,798,345,007.26
  5. Step 5: Solve for x
    x = 41,798,345,007.26/208,297.85
  6. Step 6: Final answer
    x = 200,666.23

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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.