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Finding the Fourth Proportional to 68,155.92, 102,234.96 and 34,781.76

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Solution

The fourth proportional to 68,155.92, 102,234.96 and 34,781.76 is: 52,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,155.92 : 102,234.96 = 34,781.76 : x
  2. Step 2: Convert to fraction form
    68,155.92/102,234.96 = 34,781.76/x
  3. Step 3: Cross multiply
    68,155.92x = 102,234.96 × 34,781.76
  4. Step 4: Simplify right side
    68,155.92x = 3,555,911,842.33
  5. Step 5: Solve for x
    x = 3,555,911,842.33/68,155.92
  6. Step 6: Final answer
    x = 52,173.19

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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.