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Finding the Fourth Proportional to 129,660, 194,548.56 and 74,256

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Solution

The fourth proportional to 129,660, 194,548.56 and 74,256 is: 111,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,660 : 194,548.56 = 74,256 : x
  2. Step 2: Convert to fraction form
    129,660/194,548.56 = 74,256/x
  3. Step 3: Cross multiply
    129,660x = 194,548.56 × 74,256
  4. Step 4: Simplify right side
    129,660x = 14,446,397,871.36
  5. Step 5: Solve for x
    x = 14,446,397,871.36/129,660
  6. Step 6: Final answer
    x = 111,417.54

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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.