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Finding the Fourth Proportional to 78,311, 108,158.90 and 51,573

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Solution

The fourth proportional to 78,311, 108,158.90 and 51,573 is: 71,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,311 : 108,158.90 = 51,573 : x
  2. Step 2: Convert to fraction form
    78,311/108,158.90 = 51,573/x
  3. Step 3: Cross multiply
    78,311x = 108,158.90 × 51,573
  4. Step 4: Simplify right side
    78,311x = 5,578,078,949.70
  5. Step 5: Solve for x
    x = 5,578,078,949.70/78,311
  6. Step 6: Final answer
    x = 71,229.83

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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.