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Finding the Fourth Proportional to 189,755.65, 284,680.19 and 133,705.23

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Solution

The fourth proportional to 189,755.65, 284,680.19 and 133,705.23 is: 200,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,755.65 : 284,680.19 = 133,705.23 : x
  2. Step 2: Convert to fraction form
    189,755.65/284,680.19 = 133,705.23/x
  3. Step 3: Cross multiply
    189,755.65x = 284,680.19 × 133,705.23
  4. Step 4: Simplify right side
    189,755.65x = 38,063,230,614.66
  5. Step 5: Solve for x
    x = 38,063,230,614.66/189,755.65
  6. Step 6: Final answer
    x = 200,590.77

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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.