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Finding the Fourth Proportional to 203,989.28, 281,424.56 and 117,932.42

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Solution

The fourth proportional to 203,989.28, 281,424.56 and 117,932.42 is: 162,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,989.28 : 281,424.56 = 117,932.42 : x
  2. Step 2: Convert to fraction form
    203,989.28/281,424.56 = 117,932.42/x
  3. Step 3: Cross multiply
    203,989.28x = 281,424.56 × 117,932.42
  4. Step 4: Simplify right side
    203,989.28x = 33,189,077,411.45
  5. Step 5: Solve for x
    x = 33,189,077,411.45/203,989.28
  6. Step 6: Final answer
    x = 162,700.11

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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.