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Finding the Fourth Proportional to 275,739.60, 413,609.40 and 76,090.80

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Solution

The fourth proportional to 275,739.60, 413,609.40 and 76,090.80 is: 114,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,739.60 : 413,609.40 = 76,090.80 : x
  2. Step 2: Convert to fraction form
    275,739.60/413,609.40 = 76,090.80/x
  3. Step 3: Cross multiply
    275,739.60x = 413,609.40 × 76,090.80
  4. Step 4: Simplify right side
    275,739.60x = 31,471,870,133.52
  5. Step 5: Solve for x
    x = 31,471,870,133.52/275,739.60
  6. Step 6: Final answer
    x = 114,136.20

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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.