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Finding the Fourth Proportional to 68,443.20, 102,654.54 and 21,690

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Solution

The fourth proportional to 68,443.20, 102,654.54 and 21,690 is: 32,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,443.20 : 102,654.54 = 21,690 : x
  2. Step 2: Convert to fraction form
    68,443.20/102,654.54 = 21,690/x
  3. Step 3: Cross multiply
    68,443.20x = 102,654.54 × 21,690
  4. Step 4: Simplify right side
    68,443.20x = 2,226,576,972.60
  5. Step 5: Solve for x
    x = 2,226,576,972.60/68,443.20
  6. Step 6: Final answer
    x = 32,531.75

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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.