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Finding the Fourth Proportional to 161,326.60, 241,989.90 and 82,414.60

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Solution

The fourth proportional to 161,326.60, 241,989.90 and 82,414.60 is: 123,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,326.60 : 241,989.90 = 82,414.60 : x
  2. Step 2: Convert to fraction form
    161,326.60/241,989.90 = 82,414.60/x
  3. Step 3: Cross multiply
    161,326.60x = 241,989.90 × 82,414.60
  4. Step 4: Simplify right side
    161,326.60x = 19,943,500,812.54
  5. Step 5: Solve for x
    x = 19,943,500,812.54/161,326.60
  6. Step 6: Final answer
    x = 123,621.90

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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.