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Finding the Fourth Proportional to 161,146.70, 241,720.05 and 82,414.70

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Solution

The fourth proportional to 161,146.70, 241,720.05 and 82,414.70 is: 123,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,146.70 : 241,720.05 = 82,414.70 : x
  2. Step 2: Convert to fraction form
    161,146.70/241,720.05 = 82,414.70/x
  3. Step 3: Cross multiply
    161,146.70x = 241,720.05 × 82,414.70
  4. Step 4: Simplify right side
    161,146.70x = 19,921,285,404.74
  5. Step 5: Solve for x
    x = 19,921,285,404.74/161,146.70
  6. Step 6: Final answer
    x = 123,622.05

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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.