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Finding the Fourth Proportional to 145,609.38, 200,947.41 and 81,951.30

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Solution

The fourth proportional to 145,609.38, 200,947.41 and 81,951.30 is: 113,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,609.38 : 200,947.41 = 81,951.30 : x
  2. Step 2: Convert to fraction form
    145,609.38/200,947.41 = 81,951.30/x
  3. Step 3: Cross multiply
    145,609.38x = 200,947.41 × 81,951.30
  4. Step 4: Simplify right side
    145,609.38x = 16,467,901,481.13
  5. Step 5: Solve for x
    x = 16,467,901,481.13/145,609.38
  6. Step 6: Final answer
    x = 113,096.43

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1.5x scale

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.