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Finding the Fourth Proportional to 68,142, 102,213.92 and 21,394.88

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Solution

The fourth proportional to 68,142, 102,213.92 and 21,394.88 is: 32,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,142 : 102,213.92 = 21,394.88 : x
  2. Step 2: Convert to fraction form
    68,142/102,213.92 = 21,394.88/x
  3. Step 3: Cross multiply
    68,142x = 102,213.92 × 21,394.88
  4. Step 4: Simplify right side
    68,142x = 2,186,854,552.73
  5. Step 5: Solve for x
    x = 2,186,854,552.73/68,142
  6. Step 6: Final answer
    x = 32,092.61

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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.