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Finding the Fourth Proportional to 81,216.46, 121,930.80 and 65,214.54

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Solution

The fourth proportional to 81,216.46, 121,930.80 and 65,214.54 is: 97,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,216.46 : 121,930.80 = 65,214.54 : x
  2. Step 2: Convert to fraction form
    81,216.46/121,930.80 = 65,214.54/x
  3. Step 3: Cross multiply
    81,216.46x = 121,930.80 × 65,214.54
  4. Step 4: Simplify right side
    81,216.46x = 7,951,661,175.62
  5. Step 5: Solve for x
    x = 7,951,661,175.62/81,216.46
  6. Step 6: Final answer
    x = 97,907.01

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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.