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Finding the Fourth Proportional to 51,202.40, 76,852.20 and 43,815.20

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Solution

The fourth proportional to 51,202.40, 76,852.20 and 43,815.20 is: 65,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,202.40 : 76,852.20 = 43,815.20 : x
  2. Step 2: Convert to fraction form
    51,202.40/76,852.20 = 43,815.20/x
  3. Step 3: Cross multiply
    51,202.40x = 76,852.20 × 43,815.20
  4. Step 4: Simplify right side
    51,202.40x = 3,367,294,513.44
  5. Step 5: Solve for x
    x = 3,367,294,513.44/51,202.40
  6. Step 6: Final answer
    x = 65,764.39

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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.