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Finding the Fourth Proportional to 161,884.38, 242,768.24 and 68,397.42

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Solution

The fourth proportional to 161,884.38, 242,768.24 and 68,397.42 is: 102,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884.38 : 242,768.24 = 68,397.42 : x
  2. Step 2: Convert to fraction form
    161,884.38/242,768.24 = 68,397.42/x
  3. Step 3: Cross multiply
    161,884.38x = 242,768.24 × 68,397.42
  4. Step 4: Simplify right side
    161,884.38x = 16,604,721,273.94
  5. Step 5: Solve for x
    x = 16,604,721,273.94/161,884.38
  6. Step 6: Final answer
    x = 102,571.49

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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.