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Finding the Fourth Proportional to 207,809.66, 311,714.50 and 166,519.10

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Solution

The fourth proportional to 207,809.66, 311,714.50 and 166,519.10 is: 249,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,809.66 : 311,714.50 = 166,519.10 : x
  2. Step 2: Convert to fraction form
    207,809.66/311,714.50 = 166,519.10/x
  3. Step 3: Cross multiply
    207,809.66x = 311,714.50 × 166,519.10
  4. Step 4: Simplify right side
    207,809.66x = 51,906,417,996.95
  5. Step 5: Solve for x
    x = 51,906,417,996.95/207,809.66
  6. Step 6: Final answer
    x = 249,778.66

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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.