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Finding the Fourth Proportional to 65,382.60, 97,942.62 and 55,344.36

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Solution

The fourth proportional to 65,382.60, 97,942.62 and 55,344.36 is: 82,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,382.60 : 97,942.62 = 55,344.36 : x
  2. Step 2: Convert to fraction form
    65,382.60/97,942.62 = 55,344.36/x
  3. Step 3: Cross multiply
    65,382.60x = 97,942.62 × 55,344.36
  4. Step 4: Simplify right side
    65,382.60x = 5,420,571,620.62
  5. Step 5: Solve for x
    x = 5,420,571,620.62/65,382.60
  6. Step 6: Final answer
    x = 82,905.42

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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.