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Finding the Fourth Proportional to 51,903.76, 77,857.58 and 18,163.20

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Solution

The fourth proportional to 51,903.76, 77,857.58 and 18,163.20 is: 27,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.76 : 77,857.58 = 18,163.20 : x
  2. Step 2: Convert to fraction form
    51,903.76/77,857.58 = 18,163.20/x
  3. Step 3: Cross multiply
    51,903.76x = 77,857.58 × 18,163.20
  4. Step 4: Simplify right side
    51,903.76x = 1,414,142,797.06
  5. Step 5: Solve for x
    x = 1,414,142,797.06/51,903.76
  6. Step 6: Final answer
    x = 27,245.48

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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.