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Finding the Fourth Proportional to 209,086.36, 313,530.72 and 81,062.62

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Solution

The fourth proportional to 209,086.36, 313,530.72 and 81,062.62 is: 121,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,086.36 : 313,530.72 = 81,062.62 : x
  2. Step 2: Convert to fraction form
    209,086.36/313,530.72 = 81,062.62/x
  3. Step 3: Cross multiply
    209,086.36x = 313,530.72 × 81,062.62
  4. Step 4: Simplify right side
    209,086.36x = 25,415,621,613.69
  5. Step 5: Solve for x
    x = 25,415,621,613.69/209,086.36
  6. Step 6: Final answer
    x = 121,555.62

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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.