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Finding the Fourth Proportional to 92,932.38, 128,249.19 and 50,493.78

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Solution

The fourth proportional to 92,932.38, 128,249.19 and 50,493.78 is: 69,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,932.38 : 128,249.19 = 50,493.78 : x
  2. Step 2: Convert to fraction form
    92,932.38/128,249.19 = 50,493.78/x
  3. Step 3: Cross multiply
    92,932.38x = 128,249.19 × 50,493.78
  4. Step 4: Simplify right side
    92,932.38x = 6,475,786,385.04
  5. Step 5: Solve for x
    x = 6,475,786,385.04/92,932.38
  6. Step 6: Final answer
    x = 69,682.78

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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.