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Finding the Fourth Proportional to 68,441.50, 102,654.17 and 21,056.50

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Solution

The fourth proportional to 68,441.50, 102,654.17 and 21,056.50 is: 31,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,441.50 : 102,654.17 = 21,056.50 : x
  2. Step 2: Convert to fraction form
    68,441.50/102,654.17 = 21,056.50/x
  3. Step 3: Cross multiply
    68,441.50x = 102,654.17 × 21,056.50
  4. Step 4: Simplify right side
    68,441.50x = 2,161,537,553.64
  5. Step 5: Solve for x
    x = 2,161,537,553.64/68,441.50
  6. Step 6: Final answer
    x = 31,582.26

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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.