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Finding the Fourth Proportional to 51,217, 70,680.58 and 28,861

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Solution

The fourth proportional to 51,217, 70,680.58 and 28,861 is: 39,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,217 : 70,680.58 = 28,861 : x
  2. Step 2: Convert to fraction form
    51,217/70,680.58 = 28,861/x
  3. Step 3: Cross multiply
    51,217x = 70,680.58 × 28,861
  4. Step 4: Simplify right side
    51,217x = 2,039,912,219.38
  5. Step 5: Solve for x
    x = 2,039,912,219.38/51,217
  6. Step 6: Final answer
    x = 39,828.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.