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Finding the Fourth Proportional to 189,754.90, 284,679.07 and 133,704.48

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Solution

The fourth proportional to 189,754.90, 284,679.07 and 133,704.48 is: 200,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754.90 : 284,679.07 = 133,704.48 : x
  2. Step 2: Convert to fraction form
    189,754.90/284,679.07 = 133,704.48/x
  3. Step 3: Cross multiply
    189,754.90x = 284,679.07 × 133,704.48
  4. Step 4: Simplify right side
    189,754.90x = 38,062,866,686.97
  5. Step 5: Solve for x
    x = 38,062,866,686.97/189,754.90
  6. Step 6: Final answer
    x = 200,589.64

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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.