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Finding the Fourth Proportional to 189,770.99, 284,426.31 and 139,383.87

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Solution

The fourth proportional to 189,770.99, 284,426.31 and 139,383.87 is: 208,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,770.99 : 284,426.31 = 139,383.87 : x
  2. Step 2: Convert to fraction form
    189,770.99/284,426.31 = 139,383.87/x
  3. Step 3: Cross multiply
    189,770.99x = 284,426.31 × 139,383.87
  4. Step 4: Simplify right side
    189,770.99x = 39,644,439,817.62
  5. Step 5: Solve for x
    x = 39,644,439,817.62/189,770.99
  6. Step 6: Final answer
    x = 208,906.75

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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.