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Finding the Fourth Proportional to 206,920.80, 309,854.16 and 136,585.44

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Solution

The fourth proportional to 206,920.80, 309,854.16 and 136,585.44 is: 204,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,920.80 : 309,854.16 = 136,585.44 : x
  2. Step 2: Convert to fraction form
    206,920.80/309,854.16 = 136,585.44/x
  3. Step 3: Cross multiply
    206,920.80x = 309,854.16 × 136,585.44
  4. Step 4: Simplify right side
    206,920.80x = 42,321,566,779.43
  5. Step 5: Solve for x
    x = 42,321,566,779.43/206,920.80
  6. Step 6: Final answer
    x = 204,530.27

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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.