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Finding the Fourth Proportional to 203,798.43, 281,243.79 and 123,279.84

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Solution

The fourth proportional to 203,798.43, 281,243.79 and 123,279.84 is: 170,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,798.43 : 281,243.79 = 123,279.84 : x
  2. Step 2: Convert to fraction form
    203,798.43/281,243.79 = 123,279.84/x
  3. Step 3: Cross multiply
    203,798.43x = 281,243.79 × 123,279.84
  4. Step 4: Simplify right side
    203,798.43x = 34,671,689,432.19
  5. Step 5: Solve for x
    x = 34,671,689,432.19/203,798.43
  6. Step 6: Final answer
    x = 170,127.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.