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Finding the Fourth Proportional to 206,514.40, 309,775.03 and 56,753.79

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Solution

The fourth proportional to 206,514.40, 309,775.03 and 56,753.79 is: 85,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,514.40 : 309,775.03 = 56,753.79 : x
  2. Step 2: Convert to fraction form
    206,514.40/309,775.03 = 56,753.79/x
  3. Step 3: Cross multiply
    206,514.40x = 309,775.03 × 56,753.79
  4. Step 4: Simplify right side
    206,514.40x = 17,580,906,999.86
  5. Step 5: Solve for x
    x = 17,580,906,999.86/206,514.40
  6. Step 6: Final answer
    x = 85,131.63

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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.