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Finding the Fourth Proportional to 206,482.57, 309,514.37 and 139,929.32

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Solution

The fourth proportional to 206,482.57, 309,514.37 and 139,929.32 is: 209,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,482.57 : 309,514.37 = 139,929.32 : x
  2. Step 2: Convert to fraction form
    206,482.57/309,514.37 = 139,929.32/x
  3. Step 3: Cross multiply
    206,482.57x = 309,514.37 × 139,929.32
  4. Step 4: Simplify right side
    206,482.57x = 43,310,135,398.47
  5. Step 5: Solve for x
    x = 43,310,135,398.47/206,482.57
  6. Step 6: Final answer
    x = 209,752.02

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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.