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Finding the Fourth Proportional to 161,394.78, 241,839.12 and 102,105.21

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Solution

The fourth proportional to 161,394.78, 241,839.12 and 102,105.21 is: 152,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,394.78 : 241,839.12 = 102,105.21 : x
  2. Step 2: Convert to fraction form
    161,394.78/241,839.12 = 102,105.21/x
  3. Step 3: Cross multiply
    161,394.78x = 241,839.12 × 102,105.21
  4. Step 4: Simplify right side
    161,394.78x = 24,693,034,133.82
  5. Step 5: Solve for x
    x = 24,693,034,133.82/161,394.78
  6. Step 6: Final answer
    x = 152,997.72

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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.