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Finding the Fourth Proportional to 206,415.72, 284,849.98 and 115,771.86

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Solution

The fourth proportional to 206,415.72, 284,849.98 and 115,771.86 is: 159,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415.72 : 284,849.98 = 115,771.86 : x
  2. Step 2: Convert to fraction form
    206,415.72/284,849.98 = 115,771.86/x
  3. Step 3: Cross multiply
    206,415.72x = 284,849.98 × 115,771.86
  4. Step 4: Simplify right side
    206,415.72x = 32,977,612,005.56
  5. Step 5: Solve for x
    x = 32,977,612,005.56/206,415.72
  6. Step 6: Final answer
    x = 159,763.08

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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.