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Finding the Fourth Proportional to 208,556.20, 312,834.30 and 129,824.20

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Solution

The fourth proportional to 208,556.20, 312,834.30 and 129,824.20 is: 194,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,556.20 : 312,834.30 = 129,824.20 : x
  2. Step 2: Convert to fraction form
    208,556.20/312,834.30 = 129,824.20/x
  3. Step 3: Cross multiply
    208,556.20x = 312,834.30 × 129,824.20
  4. Step 4: Simplify right side
    208,556.20x = 40,613,462,730.06
  5. Step 5: Solve for x
    x = 40,613,462,730.06/208,556.20
  6. Step 6: Final answer
    x = 194,736.30

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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.