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Finding the Fourth Proportional to 208,046.52, 312,583.32 and 133,199.28

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Solution

The fourth proportional to 208,046.52, 312,583.32 and 133,199.28 is: 200,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,046.52 : 312,583.32 = 133,199.28 : x
  2. Step 2: Convert to fraction form
    208,046.52/312,583.32 = 133,199.28/x
  3. Step 3: Cross multiply
    208,046.52x = 312,583.32 × 133,199.28
  4. Step 4: Simplify right side
    208,046.52x = 41,635,873,164.01
  5. Step 5: Solve for x
    x = 41,635,873,164.01/208,046.52
  6. Step 6: Final answer
    x = 200,127.71

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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.