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Finding the Fourth Proportional to 270,114.39, 405,171.18 and 80,569.80

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Solution

The fourth proportional to 270,114.39, 405,171.18 and 80,569.80 is: 120,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,114.39 : 405,171.18 = 80,569.80 : x
  2. Step 2: Convert to fraction form
    270,114.39/405,171.18 = 80,569.80/x
  3. Step 3: Cross multiply
    270,114.39x = 405,171.18 × 80,569.80
  4. Step 4: Simplify right side
    270,114.39x = 32,644,560,938.36
  5. Step 5: Solve for x
    x = 32,644,560,938.36/270,114.39
  6. Step 6: Final answer
    x = 120,854.58

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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.