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Finding the Fourth Proportional to 206,339.78, 309,515.34 and 56,582.12

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Solution

The fourth proportional to 206,339.78, 309,515.34 and 56,582.12 is: 84,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,339.78 : 309,515.34 = 56,582.12 : x
  2. Step 2: Convert to fraction form
    206,339.78/309,515.34 = 56,582.12/x
  3. Step 3: Cross multiply
    206,339.78x = 309,515.34 × 56,582.12
  4. Step 4: Simplify right side
    206,339.78x = 17,513,034,109.72
  5. Step 5: Solve for x
    x = 17,513,034,109.72/206,339.78
  6. Step 6: Final answer
    x = 84,874.73

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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.