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Finding the Fourth Proportional to 189,755.31, 284,679.68 and 133,704.88

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Solution

The fourth proportional to 189,755.31, 284,679.68 and 133,704.88 is: 200,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,755.31 : 284,679.68 = 133,704.88 : x
  2. Step 2: Convert to fraction form
    189,755.31/284,679.68 = 133,704.88/x
  3. Step 3: Cross multiply
    189,755.31x = 284,679.68 × 133,704.88
  4. Step 4: Simplify right side
    189,755.31x = 38,063,060,360.92
  5. Step 5: Solve for x
    x = 38,063,060,360.92/189,755.31
  6. Step 6: Final answer
    x = 200,590.23

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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.