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Finding the Fourth Proportional to 252,620.80, 378,849.18 and 84,095.86

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Solution

The fourth proportional to 252,620.80, 378,849.18 and 84,095.86 is: 126,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,620.80 : 378,849.18 = 84,095.86 : x
  2. Step 2: Convert to fraction form
    252,620.80/378,849.18 = 84,095.86/x
  3. Step 3: Cross multiply
    252,620.80x = 378,849.18 × 84,095.86
  4. Step 4: Simplify right side
    252,620.80x = 31,859,647,602.39
  5. Step 5: Solve for x
    x = 31,859,647,602.39/252,620.80
  6. Step 6: Final answer
    x = 126,116.49

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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.