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Finding the Fourth Proportional to 100,934.98, 151,403.09 and 30,814.30

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Solution

The fourth proportional to 100,934.98, 151,403.09 and 30,814.30 is: 46,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,934.98 : 151,403.09 = 30,814.30 : x
  2. Step 2: Convert to fraction form
    100,934.98/151,403.09 = 30,814.30/x
  3. Step 3: Cross multiply
    100,934.98x = 151,403.09 × 30,814.30
  4. Step 4: Simplify right side
    100,934.98x = 4,665,380,236.19
  5. Step 5: Solve for x
    x = 4,665,380,236.19/100,934.98
  6. Step 6: Final answer
    x = 46,221.64

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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.