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Finding the Fourth Proportional to 133,409.67, 199,793.81 and 76,310.52

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Solution

The fourth proportional to 133,409.67, 199,793.81 and 76,310.52 is: 114,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,409.67 : 199,793.81 = 76,310.52 : x
  2. Step 2: Convert to fraction form
    133,409.67/199,793.81 = 76,310.52/x
  3. Step 3: Cross multiply
    133,409.67x = 199,793.81 × 76,310.52
  4. Step 4: Simplify right side
    133,409.67x = 15,246,369,618.00
  5. Step 5: Solve for x
    x = 15,246,369,618.00/133,409.67
  6. Step 6: Final answer
    x = 114,282.34

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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.