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Finding the Fourth Proportional to 68,141.23, 102,212.74 and 21,394.10

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Solution

The fourth proportional to 68,141.23, 102,212.74 and 21,394.10 is: 32,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,141.23 : 102,212.74 = 21,394.10 : x
  2. Step 2: Convert to fraction form
    68,141.23/102,212.74 = 21,394.10/x
  3. Step 3: Cross multiply
    68,141.23x = 102,212.74 × 21,394.10
  4. Step 4: Simplify right side
    68,141.23x = 2,186,749,580.83
  5. Step 5: Solve for x
    x = 2,186,749,580.83/68,141.23
  6. Step 6: Final answer
    x = 32,091.43

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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.