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Finding the Fourth Proportional to 133,186.50, 199,808.91 and 50,080.50

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Solution

The fourth proportional to 133,186.50, 199,808.91 and 50,080.50 is: 75,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,186.50 : 199,808.91 = 50,080.50 : x
  2. Step 2: Convert to fraction form
    133,186.50/199,808.91 = 50,080.50/x
  3. Step 3: Cross multiply
    133,186.50x = 199,808.91 × 50,080.50
  4. Step 4: Simplify right side
    133,186.50x = 10,006,530,117.26
  5. Step 5: Solve for x
    x = 10,006,530,117.26/133,186.50
  6. Step 6: Final answer
    x = 75,131.71

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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.