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Finding the Fourth Proportional to 100,976.54, 151,459.33 and 30,855.86

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Solution

The fourth proportional to 100,976.54, 151,459.33 and 30,855.86 is: 46,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,976.54 : 151,459.33 = 30,855.86 : x
  2. Step 2: Convert to fraction form
    100,976.54/151,459.33 = 30,855.86/x
  3. Step 3: Cross multiply
    100,976.54x = 151,459.33 × 30,855.86
  4. Step 4: Simplify right side
    100,976.54x = 4,673,407,105.59
  5. Step 5: Solve for x
    x = 4,673,407,105.59/100,976.54
  6. Step 6: Final answer
    x = 46,282.11

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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.