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Finding the Fourth Proportional to 92,821.92, 128,090.82 and 50,379.54

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Solution

The fourth proportional to 92,821.92, 128,090.82 and 50,379.54 is: 69,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,821.92 : 128,090.82 = 50,379.54 : x
  2. Step 2: Convert to fraction form
    92,821.92/128,090.82 = 50,379.54/x
  3. Step 3: Cross multiply
    92,821.92x = 128,090.82 × 50,379.54
  4. Step 4: Simplify right side
    92,821.92x = 6,453,156,015.02
  5. Step 5: Solve for x
    x = 6,453,156,015.02/92,821.92
  6. Step 6: Final answer
    x = 69,521.90

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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.