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Finding the Fourth Proportional to 206,216.22, 309,258.45 and 65,941.50

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Solution

The fourth proportional to 206,216.22, 309,258.45 and 65,941.50 is: 98,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,216.22 : 309,258.45 = 65,941.50 : x
  2. Step 2: Convert to fraction form
    206,216.22/309,258.45 = 65,941.50/x
  3. Step 3: Cross multiply
    206,216.22x = 309,258.45 × 65,941.50
  4. Step 4: Simplify right side
    206,216.22x = 20,392,966,080.68
  5. Step 5: Solve for x
    x = 20,392,966,080.68/206,216.22
  6. Step 6: Final answer
    x = 98,891.18

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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.