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Finding the Fourth Proportional to 203,262.86, 280,497.30 and 117,219.80

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Solution

The fourth proportional to 203,262.86, 280,497.30 and 117,219.80 is: 161,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,262.86 : 280,497.30 = 117,219.80 : x
  2. Step 2: Convert to fraction form
    203,262.86/280,497.30 = 117,219.80/x
  3. Step 3: Cross multiply
    203,262.86x = 280,497.30 × 117,219.80
  4. Step 4: Simplify right side
    203,262.86x = 32,879,837,406.54
  5. Step 5: Solve for x
    x = 32,879,837,406.54/203,262.86
  6. Step 6: Final answer
    x = 161,760.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.