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Finding the Fourth Proportional to 129,713.73, 194,652.60 and 76,405.60

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Solution

The fourth proportional to 129,713.73, 194,652.60 and 76,405.60 is: 114,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,713.73 : 194,652.60 = 76,405.60 : x
  2. Step 2: Convert to fraction form
    129,713.73/194,652.60 = 76,405.60/x
  3. Step 3: Cross multiply
    129,713.73x = 194,652.60 × 76,405.60
  4. Step 4: Simplify right side
    129,713.73x = 14,872,548,694.56
  5. Step 5: Solve for x
    x = 14,872,548,694.56/129,713.73
  6. Step 6: Final answer
    x = 114,656.70

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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.