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Finding the Fourth Proportional to 189,614.97, 284,505.43 and 89,846.37

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Solution

The fourth proportional to 189,614.97, 284,505.43 and 89,846.37 is: 134,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,614.97 : 284,505.43 = 89,846.37 : x
  2. Step 2: Convert to fraction form
    189,614.97/284,505.43 = 89,846.37/x
  3. Step 3: Cross multiply
    189,614.97x = 284,505.43 × 89,846.37
  4. Step 4: Simplify right side
    189,614.97x = 25,561,780,130.79
  5. Step 5: Solve for x
    x = 25,561,780,130.79/189,614.97
  6. Step 6: Final answer
    x = 134,808.87

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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.