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Finding the Fourth Proportional to 68,162.12, 102,230.84 and 20,765.87

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Solution

The fourth proportional to 68,162.12, 102,230.84 and 20,765.87 is: 31,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,162.12 : 102,230.84 = 20,765.87 : x
  2. Step 2: Convert to fraction form
    68,162.12/102,230.84 = 20,765.87/x
  3. Step 3: Cross multiply
    68,162.12x = 102,230.84 × 20,765.87
  4. Step 4: Simplify right side
    68,162.12x = 2,122,911,718.45
  5. Step 5: Solve for x
    x = 2,122,911,718.45/68,162.12
  6. Step 6: Final answer
    x = 31,145.04

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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.