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Finding the Fourth Proportional to 51,286.80, 76,930.20 and 30,205.20

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Solution

The fourth proportional to 51,286.80, 76,930.20 and 30,205.20 is: 45,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,286.80 : 76,930.20 = 30,205.20 : x
  2. Step 2: Convert to fraction form
    51,286.80/76,930.20 = 30,205.20/x
  3. Step 3: Cross multiply
    51,286.80x = 76,930.20 × 30,205.20
  4. Step 4: Simplify right side
    51,286.80x = 2,323,692,077.04
  5. Step 5: Solve for x
    x = 2,323,692,077.04/51,286.80
  6. Step 6: Final answer
    x = 45,307.80

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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.