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Finding the Fourth Proportional to 206,403, 309,619.14 and 81,744

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Solution

The fourth proportional to 206,403, 309,619.14 and 81,744 is: 122,621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,403 : 309,619.14 = 81,744 : x
  2. Step 2: Convert to fraction form
    206,403/309,619.14 = 81,744/x
  3. Step 3: Cross multiply
    206,403x = 309,619.14 × 81,744
  4. Step 4: Simplify right side
    206,403x = 25,309,506,980.16
  5. Step 5: Solve for x
    x = 25,309,506,980.16/206,403
  6. Step 6: Final answer
    x = 122,621.80

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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.