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Finding the Fourth Proportional to 275,667.26, 413,529.47 and 75,987.68

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Solution

The fourth proportional to 275,667.26, 413,529.47 and 75,987.68 is: 113,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,667.26 : 413,529.47 = 75,987.68 : x
  2. Step 2: Convert to fraction form
    275,667.26/413,529.47 = 75,987.68/x
  3. Step 3: Cross multiply
    275,667.26x = 413,529.47 × 75,987.68
  4. Step 4: Simplify right side
    275,667.26x = 31,423,142,589.34
  5. Step 5: Solve for x
    x = 31,423,142,589.34/275,667.26
  6. Step 6: Final answer
    x = 113,989.39

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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.