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Finding the Fourth Proportional to 206,430.30, 309,645.92 and 56,672.64

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Solution

The fourth proportional to 206,430.30, 309,645.92 and 56,672.64 is: 85,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,430.30 : 309,645.92 = 56,672.64 : x
  2. Step 2: Convert to fraction form
    206,430.30/309,645.92 = 56,672.64/x
  3. Step 3: Cross multiply
    206,430.30x = 309,645.92 × 56,672.64
  4. Step 4: Simplify right side
    206,430.30x = 17,548,451,468.27
  5. Step 5: Solve for x
    x = 17,548,451,468.27/206,430.30
  6. Step 6: Final answer
    x = 85,009.09

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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.