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Finding the Fourth Proportional to 76,251, 105,226.44 and 42,717

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Solution

The fourth proportional to 76,251, 105,226.44 and 42,717 is: 58,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,251 : 105,226.44 = 42,717 : x
  2. Step 2: Convert to fraction form
    76,251/105,226.44 = 42,717/x
  3. Step 3: Cross multiply
    76,251x = 105,226.44 × 42,717
  4. Step 4: Simplify right side
    76,251x = 4,494,957,837.48
  5. Step 5: Solve for x
    x = 4,494,957,837.48/76,251
  6. Step 6: Final answer
    x = 58,949.49

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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.