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Finding the Fourth Proportional to 275,730.60, 413,595.90 and 76,081.80

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Solution

The fourth proportional to 275,730.60, 413,595.90 and 76,081.80 is: 114,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,730.60 : 413,595.90 = 76,081.80 : x
  2. Step 2: Convert to fraction form
    275,730.60/413,595.90 = 76,081.80/x
  3. Step 3: Cross multiply
    275,730.60x = 413,595.90 × 76,081.80
  4. Step 4: Simplify right side
    275,730.60x = 31,467,120,544.62
  5. Step 5: Solve for x
    x = 31,467,120,544.62/275,730.60
  6. Step 6: Final answer
    x = 114,122.70

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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.