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Finding the Fourth Proportional to 189,755.40, 284,679.82 and 133,704.98

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Solution

The fourth proportional to 189,755.40, 284,679.82 and 133,704.98 is: 200,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,755.40 : 284,679.82 = 133,704.98 : x
  2. Step 2: Convert to fraction form
    189,755.40/284,679.82 = 133,704.98/x
  3. Step 3: Cross multiply
    189,755.40x = 284,679.82 × 133,704.98
  4. Step 4: Simplify right side
    189,755.40x = 38,063,109,639.50
  5. Step 5: Solve for x
    x = 38,063,109,639.50/189,755.40
  6. Step 6: Final answer
    x = 200,590.39

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1.5x scale

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.