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Finding the Fourth Proportional to 185,930.64, 278,912.16 and 52,812

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Solution

The fourth proportional to 185,930.64, 278,912.16 and 52,812 is: 79,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,930.64 : 278,912.16 = 52,812 : x
  2. Step 2: Convert to fraction form
    185,930.64/278,912.16 = 52,812/x
  3. Step 3: Cross multiply
    185,930.64x = 278,912.16 × 52,812
  4. Step 4: Simplify right side
    185,930.64x = 14,729,908,993.92
  5. Step 5: Solve for x
    x = 14,729,908,993.92/185,930.64
  6. Step 6: Final answer
    x = 79,222.60

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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.