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Finding the Fourth Proportional to 129,162, 193,735.80 and 40,405.08

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Solution

The fourth proportional to 129,162, 193,735.80 and 40,405.08 is: 60,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,162 : 193,735.80 = 40,405.08 : x
  2. Step 2: Convert to fraction form
    129,162/193,735.80 = 40,405.08/x
  3. Step 3: Cross multiply
    129,162x = 193,735.80 × 40,405.08
  4. Step 4: Simplify right side
    129,162x = 7,827,910,497.86
  5. Step 5: Solve for x
    x = 7,827,910,497.86/129,162
  6. Step 6: Final answer
    x = 60,605.37

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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.