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Finding the Fourth Proportional to 100,909.80, 151,363.49 and 30,789.32

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Solution

The fourth proportional to 100,909.80, 151,363.49 and 30,789.32 is: 46,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,909.80 : 151,363.49 = 30,789.32 : x
  2. Step 2: Convert to fraction form
    100,909.80/151,363.49 = 30,789.32/x
  3. Step 3: Cross multiply
    100,909.80x = 151,363.49 × 30,789.32
  4. Step 4: Simplify right side
    100,909.80x = 4,660,378,019.16
  5. Step 5: Solve for x
    x = 4,660,378,019.16/100,909.80
  6. Step 6: Final answer
    x = 46,183.60

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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.