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Finding the Fourth Proportional to 206,381.98, 284,686.15 and 129,779.56

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Solution

The fourth proportional to 206,381.98, 284,686.15 and 129,779.56 is: 179,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,381.98 : 284,686.15 = 129,779.56 : x
  2. Step 2: Convert to fraction form
    206,381.98/284,686.15 = 129,779.56/x
  3. Step 3: Cross multiply
    206,381.98x = 284,686.15 × 129,779.56
  4. Step 4: Simplify right side
    206,381.98x = 36,946,441,212.77
  5. Step 5: Solve for x
    x = 36,946,441,212.77/206,381.98
  6. Step 6: Final answer
    x = 179,019.71

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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.