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Finding the Fourth Proportional to 192,993.80, 289,317.90 and 126,465.80

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Solution

The fourth proportional to 192,993.80, 289,317.90 and 126,465.80 is: 189,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,993.80 : 289,317.90 = 126,465.80 : x
  2. Step 2: Convert to fraction form
    192,993.80/289,317.90 = 126,465.80/x
  3. Step 3: Cross multiply
    192,993.80x = 289,317.90 × 126,465.80
  4. Step 4: Simplify right side
    192,993.80x = 36,588,819,677.82
  5. Step 5: Solve for x
    x = 36,588,819,677.82/192,993.80
  6. Step 6: Final answer
    x = 189,585.47

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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.