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Finding the Fourth Proportional to 161,906.93, 242,930.18 and 86,939.40

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Solution

The fourth proportional to 161,906.93, 242,930.18 and 86,939.40 is: 130,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,906.93 : 242,930.18 = 86,939.40 : x
  2. Step 2: Convert to fraction form
    161,906.93/242,930.18 = 86,939.40/x
  3. Step 3: Cross multiply
    161,906.93x = 242,930.18 × 86,939.40
  4. Step 4: Simplify right side
    161,906.93x = 21,120,204,308.44
  5. Step 5: Solve for x
    x = 21,120,204,308.44/161,906.93
  6. Step 6: Final answer
    x = 130,446.58

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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.