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Finding the Fourth Proportional to 133,906.70, 200,989.65 and 81,418.70

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Solution

The fourth proportional to 133,906.70, 200,989.65 and 81,418.70 is: 122,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,906.70 : 200,989.65 = 81,418.70 : x
  2. Step 2: Convert to fraction form
    133,906.70/200,989.65 = 81,418.70/x
  3. Step 3: Cross multiply
    133,906.70x = 200,989.65 × 81,418.70
  4. Step 4: Simplify right side
    133,906.70x = 16,364,316,016.46
  5. Step 5: Solve for x
    x = 16,364,316,016.46/133,906.70
  6. Step 6: Final answer
    x = 122,206.85

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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.