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Finding the Fourth Proportional to 129,871.65, 194,832.60 and 49,903.59

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Solution

The fourth proportional to 129,871.65, 194,832.60 and 49,903.59 is: 74,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,871.65 : 194,832.60 = 49,903.59 : x
  2. Step 2: Convert to fraction form
    129,871.65/194,832.60 = 49,903.59/x
  3. Step 3: Cross multiply
    129,871.65x = 194,832.60 × 49,903.59
  4. Step 4: Simplify right side
    129,871.65x = 9,722,846,189.03
  5. Step 5: Solve for x
    x = 9,722,846,189.03/129,871.65
  6. Step 6: Final answer
    x = 74,865.04

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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.