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Finding the Fourth Proportional to 68,383.20, 102,564.54 and 21,630

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Solution

The fourth proportional to 68,383.20, 102,564.54 and 21,630 is: 32,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,383.20 : 102,564.54 = 21,630 : x
  2. Step 2: Convert to fraction form
    68,383.20/102,564.54 = 21,630/x
  3. Step 3: Cross multiply
    68,383.20x = 102,564.54 × 21,630
  4. Step 4: Simplify right side
    68,383.20x = 2,218,471,000.20
  5. Step 5: Solve for x
    x = 2,218,471,000.20/68,383.20
  6. Step 6: Final answer
    x = 32,441.75

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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.