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Finding the Fourth Proportional to 221,584.62, 332,383.68 and 86,643.30

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Solution

The fourth proportional to 221,584.62, 332,383.68 and 86,643.30 is: 129,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,584.62 : 332,383.68 = 86,643.30 : x
  2. Step 2: Convert to fraction form
    221,584.62/332,383.68 = 86,643.30/x
  3. Step 3: Cross multiply
    221,584.62x = 332,383.68 × 86,643.30
  4. Step 4: Simplify right side
    221,584.62x = 28,798,819,202.98
  5. Step 5: Solve for x
    x = 28,798,819,202.98/221,584.62
  6. Step 6: Final answer
    x = 129,967.59

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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.