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Finding the Fourth Proportional to 51,989.29, 77,990.03 and 18,245

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Solution

The fourth proportional to 51,989.29, 77,990.03 and 18,245 is: 27,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,989.29 : 77,990.03 = 18,245 : x
  2. Step 2: Convert to fraction form
    51,989.29/77,990.03 = 18,245/x
  3. Step 3: Cross multiply
    51,989.29x = 77,990.03 × 18,245
  4. Step 4: Simplify right side
    51,989.29x = 1,422,928,097.35
  5. Step 5: Solve for x
    x = 1,422,928,097.35/51,989.29
  6. Step 6: Final answer
    x = 27,369.64

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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.