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Finding the Fourth Proportional to 102,791.92, 154,187.08 and 52,886

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Solution

The fourth proportional to 102,791.92, 154,187.08 and 52,886 is: 79,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,791.92 : 154,187.08 = 52,886 : x
  2. Step 2: Convert to fraction form
    102,791.92/154,187.08 = 52,886/x
  3. Step 3: Cross multiply
    102,791.92x = 154,187.08 × 52,886
  4. Step 4: Simplify right side
    102,791.92x = 8,154,337,912.88
  5. Step 5: Solve for x
    x = 8,154,337,912.88/102,791.92
  6. Step 6: Final answer
    x = 79,328.59

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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.