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Finding the Fourth Proportional to 206,354.45, 284,828.19 and 121,520.72

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Solution

The fourth proportional to 206,354.45, 284,828.19 and 121,520.72 is: 167,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,354.45 : 284,828.19 = 121,520.72 : x
  2. Step 2: Convert to fraction form
    206,354.45/284,828.19 = 121,520.72/x
  3. Step 3: Cross multiply
    206,354.45x = 284,828.19 × 121,520.72
  4. Step 4: Simplify right side
    206,354.45x = 34,612,526,725.10
  5. Step 5: Solve for x
    x = 34,612,526,725.10/206,354.45
  6. Step 6: Final answer
    x = 167,733.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.