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Finding the Fourth Proportional to 68,231.85, 102,363.35 and 20,853.68

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Solution

The fourth proportional to 68,231.85, 102,363.35 and 20,853.68 is: 31,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,231.85 : 102,363.35 = 20,853.68 : x
  2. Step 2: Convert to fraction form
    68,231.85/102,363.35 = 20,853.68/x
  3. Step 3: Cross multiply
    68,231.85x = 102,363.35 × 20,853.68
  4. Step 4: Simplify right side
    68,231.85x = 2,134,652,440.36
  5. Step 5: Solve for x
    x = 2,134,652,440.36/68,231.85
  6. Step 6: Final answer
    x = 31,285.28

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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.