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Finding the Fourth Proportional to 206,656.38, 309,945.42 and 56,859.30

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Solution

The fourth proportional to 206,656.38, 309,945.42 and 56,859.30 is: 85,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,656.38 : 309,945.42 = 56,859.30 : x
  2. Step 2: Convert to fraction form
    206,656.38/309,945.42 = 56,859.30/x
  3. Step 3: Cross multiply
    206,656.38x = 309,945.42 × 56,859.30
  4. Step 4: Simplify right side
    206,656.38x = 17,623,279,619.41
  5. Step 5: Solve for x
    x = 17,623,279,619.41/206,656.38
  6. Step 6: Final answer
    x = 85,278.18

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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.