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Finding the Fourth Proportional to 275,667.64, 413,584.47 and 86,120.35

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Solution

The fourth proportional to 275,667.64, 413,584.47 and 86,120.35 is: 129,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,667.64 : 413,584.47 = 86,120.35 : x
  2. Step 2: Convert to fraction form
    275,667.64/413,584.47 = 86,120.35/x
  3. Step 3: Cross multiply
    275,667.64x = 413,584.47 × 86,120.35
  4. Step 4: Simplify right side
    275,667.64x = 35,618,039,310.96
  5. Step 5: Solve for x
    x = 35,618,039,310.96/275,667.64
  6. Step 6: Final answer
    x = 129,206.46

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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.