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Finding the Fourth Proportional to 225,842, 338,763 and 78,098

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Solution

The fourth proportional to 225,842, 338,763 and 78,098 is: 117,147

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,842 : 338,763 = 78,098 : x
  2. Step 2: Convert to fraction form
    225,842/338,763 = 78,098/x
  3. Step 3: Cross multiply
    225,842x = 338,763 × 78,098
  4. Step 4: Simplify right side
    225,842x = 26,456,712,774
  5. Step 5: Solve for x
    x = 26,456,712,774/225,842
  6. Step 6: Final answer
    x = 117,147

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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.