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Finding the Fourth Proportional to 51,166.68, 76,768.74 and 21,581.88

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Solution

The fourth proportional to 51,166.68, 76,768.74 and 21,581.88 is: 32,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166.68 : 76,768.74 = 21,581.88 : x
  2. Step 2: Convert to fraction form
    51,166.68/76,768.74 = 21,581.88/x
  3. Step 3: Cross multiply
    51,166.68x = 76,768.74 × 21,581.88
  4. Step 4: Simplify right side
    51,166.68x = 1,656,813,734.43
  5. Step 5: Solve for x
    x = 1,656,813,734.43/51,166.68
  6. Step 6: Final answer
    x = 32,380.72

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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.