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Finding the Fourth Proportional to 133,825.80, 200,738.70 and 81,251.40

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Solution

The fourth proportional to 133,825.80, 200,738.70 and 81,251.40 is: 121,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,825.80 : 200,738.70 = 81,251.40 : x
  2. Step 2: Convert to fraction form
    133,825.80/200,738.70 = 81,251.40/x
  3. Step 3: Cross multiply
    133,825.80x = 200,738.70 × 81,251.40
  4. Step 4: Simplify right side
    133,825.80x = 16,310,300,409.18
  5. Step 5: Solve for x
    x = 16,310,300,409.18/133,825.80
  6. Step 6: Final answer
    x = 121,877.10

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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.