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Finding the Fourth Proportional to 192,018.76, 287,993.52 and 51,744.64

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Solution

The fourth proportional to 192,018.76, 287,993.52 and 51,744.64 is: 77,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,018.76 : 287,993.52 = 51,744.64 : x
  2. Step 2: Convert to fraction form
    192,018.76/287,993.52 = 51,744.64/x
  3. Step 3: Cross multiply
    192,018.76x = 287,993.52 × 51,744.64
  4. Step 4: Simplify right side
    192,018.76x = 14,902,121,014.73
  5. Step 5: Solve for x
    x = 14,902,121,014.73/192,018.76
  6. Step 6: Final answer
    x = 77,607.63

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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.