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Finding the Fourth Proportional to 207,645.10, 311,451.45 and 81,260.80

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Solution

The fourth proportional to 207,645.10, 311,451.45 and 81,260.80 is: 121,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,645.10 : 311,451.45 = 81,260.80 : x
  2. Step 2: Convert to fraction form
    207,645.10/311,451.45 = 81,260.80/x
  3. Step 3: Cross multiply
    207,645.10x = 311,451.45 × 81,260.80
  4. Step 4: Simplify right side
    207,645.10x = 25,308,793,988.16
  5. Step 5: Solve for x
    x = 25,308,793,988.16/207,645.10
  6. Step 6: Final answer
    x = 121,884.86

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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.