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Finding the Fourth Proportional to 68,234.51, 102,337.65 and 18,302.74

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Solution

The fourth proportional to 68,234.51, 102,337.65 and 18,302.74 is: 27,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234.51 : 102,337.65 = 18,302.74 : x
  2. Step 2: Convert to fraction form
    68,234.51/102,337.65 = 18,302.74/x
  3. Step 3: Cross multiply
    68,234.51x = 102,337.65 × 18,302.74
  4. Step 4: Simplify right side
    68,234.51x = 1,873,058,819.84
  5. Step 5: Solve for x
    x = 1,873,058,819.84/68,234.51
  6. Step 6: Final answer
    x = 27,450.32

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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.