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Finding the Fourth Proportional to 289,891.44, 434,771.55 and 132,165

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Solution

The fourth proportional to 289,891.44, 434,771.55 and 132,165 is: 198,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,891.44 : 434,771.55 = 132,165 : x
  2. Step 2: Convert to fraction form
    289,891.44/434,771.55 = 132,165/x
  3. Step 3: Cross multiply
    289,891.44x = 434,771.55 × 132,165
  4. Step 4: Simplify right side
    289,891.44x = 57,461,581,905.75
  5. Step 5: Solve for x
    x = 57,461,581,905.75/289,891.44
  6. Step 6: Final answer
    x = 198,217.59

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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.