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Finding the Fourth Proportional to 68,410.94, 102,609.18 and 32,378.78

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Solution

The fourth proportional to 68,410.94, 102,609.18 and 32,378.78 is: 48,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,410.94 : 102,609.18 = 32,378.78 : x
  2. Step 2: Convert to fraction form
    68,410.94/102,609.18 = 32,378.78/x
  3. Step 3: Cross multiply
    68,410.94x = 102,609.18 × 32,378.78
  4. Step 4: Simplify right side
    68,410.94x = 3,322,360,065.20
  5. Step 5: Solve for x
    x = 3,322,360,065.20/68,410.94
  6. Step 6: Final answer
    x = 48,564.75

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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.