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Finding the Fourth Proportional to 206,443.22, 309,590.58 and 71,470.64

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Solution

The fourth proportional to 206,443.22, 309,590.58 and 71,470.64 is: 107,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,443.22 : 309,590.58 = 71,470.64 : x
  2. Step 2: Convert to fraction form
    206,443.22/309,590.58 = 71,470.64/x
  3. Step 3: Cross multiply
    206,443.22x = 309,590.58 × 71,470.64
  4. Step 4: Simplify right side
    206,443.22x = 22,126,636,890.57
  5. Step 5: Solve for x
    x = 22,126,636,890.57/206,443.22
  6. Step 6: Final answer
    x = 107,180.25

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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.