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Finding the Fourth Proportional to 206,391.90, 284,818.20 and 115,770.72

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Solution

The fourth proportional to 206,391.90, 284,818.20 and 115,770.72 is: 159,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,391.90 : 284,818.20 = 115,770.72 : x
  2. Step 2: Convert to fraction form
    206,391.90/284,818.20 = 115,770.72/x
  3. Step 3: Cross multiply
    206,391.90x = 284,818.20 × 115,770.72
  4. Step 4: Simplify right side
    206,391.90x = 32,973,608,083.10
  5. Step 5: Solve for x
    x = 32,973,608,083.10/206,391.90
  6. Step 6: Final answer
    x = 159,762.12

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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.