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Finding the Fourth Proportional to 68,203.62, 102,321.54 and 21,456.50

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Solution

The fourth proportional to 68,203.62, 102,321.54 and 21,456.50 is: 32,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,203.62 : 102,321.54 = 21,456.50 : x
  2. Step 2: Convert to fraction form
    68,203.62/102,321.54 = 21,456.50/x
  3. Step 3: Cross multiply
    68,203.62x = 102,321.54 × 21,456.50
  4. Step 4: Simplify right side
    68,203.62x = 2,195,462,123.01
  5. Step 5: Solve for x
    x = 2,195,462,123.01/68,203.62
  6. Step 6: Final answer
    x = 32,189.82

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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.