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Finding the Fourth Proportional to 129,808.56, 194,663.88 and 45,542.64

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Solution

The fourth proportional to 129,808.56, 194,663.88 and 45,542.64 is: 68,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,808.56 : 194,663.88 = 45,542.64 : x
  2. Step 2: Convert to fraction form
    129,808.56/194,663.88 = 45,542.64/x
  3. Step 3: Cross multiply
    129,808.56x = 194,663.88 × 45,542.64
  4. Step 4: Simplify right side
    129,808.56x = 8,865,507,007.84
  5. Step 5: Solve for x
    x = 8,865,507,007.84/129,808.56
  6. Step 6: Final answer
    x = 68,296.78

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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.